2120000112013 has 32 divisors (see below), whose sum is σ = 2469166156800. Its totient is φ = 1782804000384.

The previous prime is 2120000112007. The next prime is 2120000112023. The reversal of 2120000112013 is 3102110000212.

It is a cyclic number.

It is not a de Polignac number, because 2120000112013 - 2¹⁷ = 2119999980941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120000111984 and 2120000112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120000112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42556506 + ... + 42606292.

It is an arithmetic number, because the mean of its divisors is an integer number (77161442400).

Almost surely, 2^{2120000112013} is an apocalyptic number.

It is an amenable number.

2120000112013 is a deficient number, since it is larger than the sum of its proper divisors (349166044787).

2120000112013 is a wasteful number, since it uses less digits than its factorization.

2120000112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50449.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2120000112013 its reverse (3102110000212), we get a palindrome (5222110112225).

The spelling of 2120000112013 in words is "two trillion, one hundred twenty billion, one hundred twelve thousand, thirteen".