2113120013000 has 64 divisors (see below), whose sum is σ = 4945196880000. Its totient is φ = 845163211200.

The previous prime is 2113120012999. The next prime is 2113120013003. The reversal of 2113120013000 is 3100213112.

It is a super-2 number, since 2×2113120013000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113120013003) 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, 10386251 + ... + 10587749.

It is an arithmetic number, because the mean of its divisors is an integer number (77268701250).

Almost surely, 2^{2113120013000} is an apocalyptic number.

2113120013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113120013000 is an abundant number, since it is smaller than the sum of its proper divisors (2832076867000).

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

2113120013000 is a wasteful number, since it uses less digits than its factorization.

2113120013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212007 (or 211993 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2113120013000 its reverse (3100213112), we get a palindrome (2116220226112).

The spelling of 2113120013000 in words is "two trillion, one hundred thirteen billion, one hundred twenty million, thirteen thousand".