2113033113 has 24 divisors (see below), whose sum is σ = 3132006696. Its totient is φ = 1371955200.

The previous prime is 2113033093. The next prime is 2113033123. The reversal of 2113033113 is 3113303112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1814409 + 2111218704 = 1347^2 + 45948^2 .

It is not a de Polignac number, because 2113033113 - 2⁶ = 2113033049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2113033123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223033 + ... + 232313.

It is an arithmetic number, because the mean of its divisors is an integer number (130500279).

Almost surely, 2^2113033113 is an apocalyptic number.

It is an amenable number.

2113033113 is a deficient number, since it is larger than the sum of its proper divisors (1018973583).

2113033113 is a wasteful number, since it uses less digits than its factorization.

2113033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2113033113 is about 45967.7399161629. The cubic root of 2113033113 is about 1283.2228989958. Note that the first 3 decimals are identical.

Adding to 2113033113 its reverse (3113303112), we get a palindrome (5226336225).

The spelling of 2113033113 in words is "two billion, one hundred thirteen million, thirty-three thousand, one hundred thirteen".