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131403021023131 = 11132833511924809
BaseRepresentation
bin11101111000001010100110…
…011000111111011110011011
3122020021000011110120221220021
4131320022212120333132123
5114210401341340220011
61143245414155411311
736451361233504234
oct3570124630773633
9566230143527807
10131403021023131
1138961787774950
12128a2951a53b37
1358423370245c0
142463d23ac408b
15102d162a51471
hex7782a663f79b

131403021023131 has 32 divisors (see below), whose sum is σ = 154965365936640. Its totient is φ = 109847214547200.

The previous prime is 131403021023123. The next prime is 131403021023143. The reversal of 131403021023131 is 131320120304131.

It is not a de Polignac number, because 131403021023131 - 23 = 131403021023123 is a prime.

It is a super-2 number, since 2×1314030210231312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131403021023096 and 131403021023105.

It is not an unprimeable number, because it can be changed into a prime (131403021023161) 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, 141624255 + ... + 142549063.

It is an arithmetic number, because the mean of its divisors is an integer number (4842667685520).

Almost surely, 2131403021023131 is an apocalyptic number.

131403021023131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131403021023131 is a deficient number, since it is larger than the sum of its proper divisors (23562344913509).

131403021023131 is a wasteful number, since it uses less digits than its factorization.

131403021023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928627.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131403021023131 its reverse (131320120304131), we get a palindrome (262723141327262).

The spelling of 131403021023131 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-one million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 11 13 143 283 3113 3511 3679 38621 40469 45643 502073 924809 993613 10172899 10929743 12022517 12916969 132247687 142086659 261720947 2878930417 3247004399 3402372311 35717048389 37426095421 42211057187 464321629057 918902244917 10107924694087 11945729183921 131403021023131