102431112993 has 24 divisors (see below), whose sum is σ = 163449736320. Its totient is φ = 61293641760.

The previous prime is 102431112991. The next prime is 102431113027. The reversal of 102431112993 is 399211134201.

It is a happy number.

102431112993 is a `hidden beast` number, since 10 + 2 + 431 + 1 + 129 + 93 = 666.

It is not a de Polignac number, because 102431112993 - 2¹ = 102431112991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102431112991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6540646 + ... + 6556287.

It is an arithmetic number, because the mean of its divisors is an integer number (6810405680).

Almost surely, 2^102431112993 is an apocalyptic number.

It is an amenable number.

102431112993 is a deficient number, since it is larger than the sum of its proper divisors (61018623327).

102431112993 is a wasteful number, since it uses less digits than its factorization.

102431112993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097029 (or 13097026 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 102431112993 in words is "one hundred two billion, four hundred thirty-one million, one hundred twelve thousand, nine hundred ninety-three".