10021123310013 has 48 divisors (see below), whose sum is σ = 14764436144640. Its totient is φ = 6548405997312.

The previous prime is 10021123309999. The next prime is 10021123310021. The reversal of 10021123310013 is 31001332112001.

It is not a de Polignac number, because 10021123310013 - 2⁴ = 10021123309997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021123310083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69035356 + ... + 69180362.

It is an arithmetic number, because the mean of its divisors is an integer number (307592419680).

Almost surely, 2^{10021123310013} is an apocalyptic number.

It is an amenable number.

10021123310013 is a deficient number, since it is larger than the sum of its proper divisors (4743312834627).

10021123310013 is a wasteful number, since it uses less digits than its factorization.

10021123310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145738 (or 145735 counting only the distinct ones).

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

Adding to 10021123310013 its reverse (31001332112001), we get a palindrome (41022455422014).

The spelling of 10021123310013 in words is "ten trillion, twenty-one billion, one hundred twenty-three million, three hundred ten thousand, thirteen".