2111004031311 has 32 divisors (see below), whose sum is σ = 3697434547200. Its totient is φ = 1164691876320.

The previous prime is 2111004031303. The next prime is 2111004031321. The reversal of 2111004031311 is 1131304001112.

It is a happy number.

2111004031311 is a `hidden beast` number, since 21 + 110 + 0 + 403 + 131 + 1 = 666.

It is not a de Polignac number, because 2111004031311 - 2³ = 2111004031303 is a prime.

It is a super-2 number, since 2×2111004031311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111004031321) 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, 192569235 + ... + 192580196.

It is an arithmetic number, because the mean of its divisors is an integer number (115544829600).

Almost surely, 2^{2111004031311} is an apocalyptic number.

2111004031311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111004031311 is a deficient number, since it is larger than the sum of its proper divisors (1586430515889).

2111004031311 is a wasteful number, since it uses less digits than its factorization.

2111004031311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385149476 (or 385149470 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2111004031311 its reverse (1131304001112), we get a palindrome (3242308032423).

The spelling of 2111004031311 in words is "two trillion, one hundred eleven billion, four million, thirty-one thousand, three hundred eleven".