2113321311 has 48 divisors (see below), whose sum is σ = 3182957856. Its totient is φ = 1350355968.

The previous prime is 2113321307. The next prime is 2113321339. The reversal of 2113321311 is 1131233112.

2113321311 is a `hidden beast` number, since 21 + 1 + 332 + 1 + 311 = 666.

It is not a de Polignac number, because 2113321311 - 2² = 2113321307 is a prime.

It is a super-2 number, since 2×2113321311² = 8932253927053517442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113321211) 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 47 ways as a sum of consecutive naturals, for example, 4770256 + ... + 4770698.

It is an arithmetic number, because the mean of its divisors is an integer number (66311622).

Almost surely, 2^2113321311 is an apocalyptic number.

2113321311 is a deficient number, since it is larger than the sum of its proper divisors (1069636545).

2113321311 is a wasteful number, since it uses less digits than its factorization.

2113321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 709 counting only the distinct ones).

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

The square root of 2113321311 is about 45970.8745946822. The cubic root of 2113321311 is about 1283.2812362203.

Adding to 2113321311 its reverse (1131233112), we get a palindrome (3244554423).

The spelling of 2113321311 in words is "two billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred eleven".