2113022032013 has 16 divisors (see below), whose sum is σ = 2230350909696. Its totient is φ = 1997948430720.

The previous prime is 2113022032003. The next prime is 2113022032021. The reversal of 2113022032013 is 3102302203112.

It is not a de Polignac number, because 2113022032013 - 2³⁰ = 2111948290189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113022032003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824456 + ... + 2214897.

It is an arithmetic number, because the mean of its divisors is an integer number (139396931856).

Almost surely, 2^{2113022032013} is an apocalyptic number.

2113022032013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2113022032013 is a deficient number, since it is larger than the sum of its proper divisors (117328877683).

2113022032013 is a wasteful number, since it uses less digits than its factorization.

2113022032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039724.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2113022032013 its reverse (3102302203112), we get a palindrome (5215324235125).

The spelling of 2113022032013 in words is "two trillion, one hundred thirteen billion, twenty-two million, thirty-two thousand, thirteen".