10032101013 has 32 divisors (see below), whose sum is σ = 15554332800. Its totient is φ = 5683957760.

The previous prime is 10032100997. The next prime is 10032101039. The reversal of 10032101013 is 31010123001.

It is a cyclic number.

It is not a de Polignac number, because 10032101013 - 2⁴ = 10032100997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10032101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032109013) 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, 23581 + ... + 143597.

It is an arithmetic number, because the mean of its divisors is an integer number (486072900).

Almost surely, 2^10032101013 is an apocalyptic number.

It is an amenable number.

10032101013 is a deficient number, since it is larger than the sum of its proper divisors (5522231787).

10032101013 is a wasteful number, since it uses less digits than its factorization.

10032101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120197.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10032101013 its reverse (31010123001), we get a palindrome (41042224014).

The spelling of 10032101013 in words is "ten billion, thirty-two million, one hundred one thousand, thirteen".