10232131013001 has 24 divisors (see below), whose sum is σ = 15058813540680. Its totient is φ = 6692623232256.

The previous prime is 10232131012997. The next prime is 10232131013003. The reversal of 10232131013001 is 10031013123201.

10232131013001 is a `hidden beast` number, since 1 + 0 + 2 + 321 + 310 + 1 + 30 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2831277369600 + 7400853643401 = 1682640^2 + 2720451^2 .

It is not a de Polignac number, because 10232131013001 - 2² = 10232131012997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10232131013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69486885 + ... + 69633981.

It is an arithmetic number, because the mean of its divisors is an integer number (627450564195).

Almost surely, 2^{10232131013001} is an apocalyptic number.

It is an amenable number.

10232131013001 is a deficient number, since it is larger than the sum of its proper divisors (4826682527679).

10232131013001 is a wasteful number, since it uses less digits than its factorization.

10232131013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292985 (or 292982 counting only the distinct ones).

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

Adding to 10232131013001 its reverse (10031013123201), we get a palindrome (20263144136202).

The spelling of 10232131013001 in words is "ten trillion, two hundred thirty-two billion, one hundred thirty-one million, thirteen thousand, one".