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131413330110231 = 33131139932844719
BaseRepresentation
bin11101111000010100001100…
…110111000010011100010111
3122020021222202220221211211000
4131320110030313002130113
5114211034000002011411
61143254241143114343
736452204553343611
oct3570241467023427
9566258686854730
10131413330110231
11389660979aa644
12128a494a4429b3
1358432baa71a40
142464620d03db1
15102d567b15956
hex77850cdc2717

131413330110231 has 32 divisors (see below), whose sum is σ = 209680692480000. Its totient is φ = 80862644685024.

The previous prime is 131413330110191. The next prime is 131413330110239. The reversal of 131413330110231 is 132011033314131.

131413330110231 is a `hidden beast` number, since 1 + 3 + 1 + 413 + 3 + 3 + 0 + 1 + 10 + 231 = 666.

It is not a de Polignac number, because 131413330110231 - 27 = 131413330110103 is a prime.

It is a super-2 number, since 2×1314133301102312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131413330110195 and 131413330110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413330110239) 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, 12421311 + ... + 20423408.

It is an arithmetic number, because the mean of its divisors is an integer number (6552521640000).

Almost surely, 2131413330110231 is an apocalyptic number.

131413330110231 is a deficient number, since it is larger than the sum of its proper divisors (78267362369769).

131413330110231 is a wasteful number, since it uses less digits than its factorization.

131413330110231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32856140 (or 32856134 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131413330110231 its reverse (132011033314131), we get a palindrome (263424363424362).

The spelling of 131413330110231 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, one hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 11399 34197 102591 148187 307773 444561 1333683 4001049 32844719 98534157 295602471 426981347 886807413 1280944041 3842832123 11528496369 374396951881 1123190855643 3369572566929 4867160374453 10108717700787 14601481123359 43804443370077 131413330110231