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11321130133131 = 3713253509118247
BaseRepresentation
bin1010010010111110011111…
…1100001010011010001011
31111002021211000122200111220
42210233213330022122023
52440441133303230011
640024504432453123
72245632105240450
oct244574774123213
944067730580456
1011321130133131
11367529a900a55
12132a13b6aa1a3
13641768acba00
142b1d34b03827
1514974de1d506
hexa4be7f0a68b

11321130133131 has 96 divisors (see below), whose sum is σ = 19070356331520. Its totient is φ = 5847353620992.

The previous prime is 11321130133123. The next prime is 11321130133139. The reversal of 11321130133131 is 13133103112311.

It is an interprime number because it is at equal distance from previous prime (11321130133123) and next prime (11321130133139).

It is not a de Polignac number, because 11321130133131 - 23 = 11321130133123 is a prime.

It is a super-2 number, since 2×113211301331312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11321130133139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95682250 + ... + 95800496.

It is an arithmetic number, because the mean of its divisors is an integer number (198649545120).

Almost surely, 211321130133131 is an apocalyptic number.

11321130133131 is a deficient number, since it is larger than the sum of its proper divisors (7749226198389).

11321130133131 is a wasteful number, since it uses less digits than its factorization.

11321130133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118845 (or 118832 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 11321130133131 its reverse (13133103112311), we get a palindrome (24454233245442).

The spelling of 11321130133131 in words is "eleven trillion, three hundred twenty-one billion, one hundred thirty million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 53 91 159 169 273 371 507 509 689 1113 1183 1527 2067 3549 3563 4823 6617 8957 10689 14469 19851 26871 26977 46319 62699 80931 86021 118247 138957 188097 188839 258063 350701 354741 566517 602147 827729 1052103 1537211 1806441 2454907 2483187 4559113 4611633 6267091 7364721 10760477 13677339 18801273 19983743 31913791 32281431 43869637 59951229 60187723 81472183 95741373 131608911 139886201 180563169 244416549 419658603 421314061 570305281 782440399 1059138379 1263942183 1710915843 2347321197 3177415137 3189949319 5477082793 7413968653 9569847957 10171725187 16431248379 22241905959 22329645233 30515175561 41469341147 66988935699 71202076309 124408023441 213606228927 290285388029 539101434911 870856164087 1617304304733 3773710044377 11321130133131