2113021022013 has 18 divisors (see below), whose sum is σ = 3354833194622. Its totient is φ = 1280618800560.

The previous prime is 2113021021987. The next prime is 2113021022023. The reversal of 2113021022013 is 3102201203112.

It can be written as a sum of positive squares in only one way, i.e., 1777950226404 + 335070795609 = 1333398^2 + 578853^2 .

It is not a de Polignac number, because 2113021022013 - 2¹⁸ = 2113020759869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113021022023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 970164670 + ... + 970166847.

Almost surely, 2^{2113021022013} is an apocalyptic number.

It is an amenable number.

2113021022013 is a deficient number, since it is larger than the sum of its proper divisors (1241812172609).

2113021022013 is a wasteful number, since it uses less digits than its factorization.

2113021022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940331545 (or 1940331531 counting only the distinct ones).

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

Adding to 2113021022013 its reverse (3102201203112), we get a palindrome (5215222225125).

The spelling of 2113021022013 in words is "two trillion, one hundred thirteen billion, twenty-one million, twenty-two thousand, thirteen".