2113011311 has 32 divisors (see below), whose sum is σ = 2426941440. Its totient is φ = 1827657216.

The previous prime is 2113011287. The next prime is 2113011377. The reversal of 2113011311 is 1131103112.

It is a happy number.

It is not a de Polignac number, because 2113011311 - 2¹⁰ = 2113010287 is a prime.

It is a super-4 number, since 4×2113011311⁴ (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3480770 + ... + 3481376.

It is an arithmetic number, because the mean of its divisors is an integer number (75841920).

Almost surely, 2^2113011311 is an apocalyptic number.

2113011311 is a deficient number, since it is larger than the sum of its proper divisors (313930129).

2113011311 is a wasteful number, since it uses less digits than its factorization.

2113011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 2113011311 is about 45967.5027709794. The cubic root of 2113011311 is about 1283.2184856051.

Adding to 2113011311 its reverse (1131103112), we get a palindrome (3244114423).

The spelling of 2113011311 in words is "two billion, one hundred thirteen million, eleven thousand, three hundred eleven".