2113313002120 has 64 divisors (see below), whose sum is σ = 4801894614000. Its totient is φ = 836990972928.

The previous prime is 2113313002117. The next prime is 2113313002127. The reversal of 2113313002120 is 212003133112.

It can be written as a sum of positive squares in 8 ways, for example, as 1993794832324 + 119518169796 = 1412018^2 + 345714^2 .

It is not an unprimeable number, because it can be changed into a prime (2113313002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6168286 + ... + 6501874.

Almost surely, 2^{2113313002120} is an apocalyptic number.

2113313002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113313002120 is an abundant number, since it is smaller than the sum of its proper divisors (2688581611880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113313002120 is a wasteful number, since it uses less digits than its factorization.

2113313002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335162 (or 335158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2113313002120 its reverse (212003133112), we get a palindrome (2325316135232).

The spelling of 2113313002120 in words is "two trillion, one hundred thirteen billion, three hundred thirteen million, two thousand, one hundred twenty".