10102432131 has 32 divisors (see below), whose sum is σ = 16635248640. Its totient is φ = 6007154400.

The previous prime is 10102432051. The next prime is 10102432147. The reversal of 10102432131 is 13123420101.

10102432131 is a `hidden beast` number, since 1 + 0 + 102 + 432 + 131 = 666.

It is not a de Polignac number, because 10102432131 - 2⁷ = 10102432003 is a prime.

It is a super-2 number, since 2×10102432131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102442131) 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, 305155 + ... + 336636.

It is an arithmetic number, because the mean of its divisors is an integer number (519851520).

Almost surely, 2^10102432131 is an apocalyptic number.

10102432131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102432131 is a deficient number, since it is larger than the sum of its proper divisors (6532816509).

10102432131 is a wasteful number, since it uses less digits than its factorization.

10102432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641864 (or 641858 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10102432131 its reverse (13123420101), we get a palindrome (23225852232).

The spelling of 10102432131 in words is "ten billion, one hundred two million, four hundred thirty-two thousand, one hundred thirty-one".