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11331201303213 = 31141101382121701
BaseRepresentation
bin1010010011100100000000…
…1110101000001010101101
31111010020210220100010122020
42210321000032220022231
52441122300013200323
640033252040540353
72246436505621401
oct244710016501255
944106726303566
1011331201303213
113679598806110
1213300904816b9
136426b247744c
142b260c4b1101
15149b3d188ae3
hexa4e403a82ad

11331201303213 has 64 divisors (see below), whose sum is σ = 17056155287808. Its totient is φ = 6631520000000.

The previous prime is 11331201303199. The next prime is 11331201303251. The reversal of 11331201303213 is 31230310213311.

It is a cyclic number.

It is not a de Polignac number, because 11331201303213 - 25 = 11331201303181 is a prime.

It is a super-2 number, since 2×113312013032132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331201303413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522140263 + ... + 522161963.

It is an arithmetic number, because the mean of its divisors is an integer number (266502426372).

Almost surely, 211331201303213 is an apocalyptic number.

It is an amenable number.

11331201303213 is a deficient number, since it is larger than the sum of its proper divisors (5724953984595).

11331201303213 is a wasteful number, since it uses less digits than its factorization.

11331201303213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25678.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331201303213 its reverse (31230310213311), we get a palindrome (42561511516524).

The spelling of 11331201303213 in words is "eleven trillion, three hundred thirty-one billion, two hundred one million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 11 33 41 101 123 303 451 1111 1353 3333 3821 4141 11463 12423 21701 42031 45551 65103 126093 136653 156661 238711 385921 469983 716133 889741 1157763 1723271 2191801 2669223 4245131 5169813 6575403 9787151 12735393 15822761 24109811 29361453 47468283 72329433 82919521 89863841 174050371 248758563 269591523 522151113 912114731 988502251 2736344193 2965506753 3399700361 8374871621 10199101083 25124614863 37396703971 92123587831 112190111913 276370763493 343369736461 1030109209383 3777067101071 11331201303213