2113121300013 has 24 divisors (see below), whose sum is σ = 3352625714880. Its totient is φ = 1276576709760.

The previous prime is 2113121300009. The next prime is 2113121300021. The reversal of 2113121300013 is 3100031213112.

2113121300013 is a `hidden beast` number, since 211 + 312 + 130 + 0 + 0 + 13 = 666.

It is not a de Polignac number, because 2113121300013 - 2² = 2113121300009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113121300063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268635948 + ... + 268643813.

It is an arithmetic number, because the mean of its divisors is an integer number (139692738120).

Almost surely, 2^{2113121300013} is an apocalyptic number.

2113121300013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2113121300013 is a deficient number, since it is larger than the sum of its proper divisors (1239504414867).

2113121300013 is a wasteful number, since it uses less digits than its factorization.

2113121300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537279809 (or 537279806 counting only the distinct ones).

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

Adding to 2113121300013 its reverse (3100031213112), we get a palindrome (5213152513125).

The spelling of 2113121300013 in words is "two trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred thousand, thirteen".