102000131312031 has 12 divisors (see below), whose sum is σ = 147561240979152. Its totient is φ = 67894986938496.

The previous prime is 102000131311997. The next prime is 102000131312039. The reversal of 102000131312031 is 130213131000201.

102000131312031 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 1 + 313 + 120 + 31 = 666.

It is not a de Polignac number, because 102000131312031 - 2¹³ = 102000131303839 is a prime.

It is a super-2 number, since 2×102000131312031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102000131311995 and 102000131312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000131312039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8758377426 + ... + 8758389071.

It is an arithmetic number, because the mean of its divisors is an integer number (12296770081596).

Almost surely, 2^{102000131312031} is an apocalyptic number.

102000131312031 is a deficient number, since it is larger than the sum of its proper divisors (45561109667121).

102000131312031 is a wasteful number, since it uses less digits than its factorization.

102000131312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516767150 (or 17516767147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102000131312031 its reverse (130213131000201), we get a palindrome (232213262312232).

The spelling of 102000131312031 in words is "one hundred two trillion, one hundred thirty-one million, three hundred twelve thousand, thirty-one".