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13130311101131 = 717733151199623
BaseRepresentation
bin1011111100010010001110…
…0001110110101011001011
31201111020121221211100102102
42333010203201312223023
53210111334120214011
643531552011424015
72523430230602210
oct277044341665313
951436557740372
1013130311101131
1142025963457a4
1215808aa75500b
1374324c146853
14335720953b07
1517b83999d73b
hexbf123876acb

13130311101131 has 32 divisors (see below), whose sum is σ = 15921145755648. Its totient is φ = 10570962147840.

The previous prime is 13130311101121. The next prime is 13130311101143. The reversal of 13130311101131 is 13110111303131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13130311101131 - 226 = 13130243992267 is a prime.

It is a super-2 number, since 2×131303111011312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13130311101101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131750186 + ... + 131849808.

It is an arithmetic number, because the mean of its divisors is an integer number (497535804864).

Almost surely, 213130311101131 is an apocalyptic number.

13130311101131 is a deficient number, since it is larger than the sum of its proper divisors (2790834654517).

13130311101131 is a wasteful number, since it uses less digits than its factorization.

13130311101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101891.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 13130311101131 its reverse (13110111303131), we get a palindrome (26240422404262).

The spelling of 13130311101131 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 7 17 119 733 1511 5131 10577 12461 25687 87227 99623 179809 697361 1107563 1693591 7752941 11855137 18828571 73023659 131799997 150530353 511165613 1053712471 1241402203 2559016001 8689815421 17913112007 110338748749 772371241243 1875758728733 13130311101131