21131012102031 has 64 divisors (see below), whose sum is σ = 34193604695040. Its totient is φ = 12818496378240.

The previous prime is 21131012102017. The next prime is 21131012102093. The reversal of 21131012102031 is 13020121013112.

21131012102031 is a `hidden beast` number, since 211 + 310 + 12 + 102 + 0 + 31 = 666.

It is not a de Polignac number, because 21131012102031 - 2¹³ = 21131012093839 is a prime.

It is a super-2 number, since 2×21131012102031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21131012101995 and 21131012102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131012002031) 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, 163491925 + ... + 163621121.

It is an arithmetic number, because the mean of its divisors is an integer number (534275073360).

Almost surely, 2^{21131012102031} is an apocalyptic number.

21131012102031 is a deficient number, since it is larger than the sum of its proper divisors (13062592593009).

21131012102031 is a wasteful number, since it uses less digits than its factorization.

21131012102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135853 (or 135847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21131012102031 its reverse (13020121013112), we get a palindrome (34151133115143).

The spelling of 21131012102031 in words is "twenty-one trillion, one hundred thirty-one billion, twelve million, one hundred two thousand, thirty-one".