11312111121311 has 48 divisors (see below), whose sum is σ = 15612573922848. Its totient is φ = 8056022688000.

The previous prime is 11312111121299. The next prime is 11312111121347.

11312111121311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11312111121311 - 2³⁴ = 11294931252127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312111121511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7284380 + ... + 8699793.

It is an arithmetic number, because the mean of its divisors is an integer number (325261956726).

Almost surely, 2^{11312111121311} is an apocalyptic number.

11312111121311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312111121311 is a deficient number, since it is larger than the sum of its proper divisors (4300462801537).

11312111121311 is a wasteful number, since it uses less digits than its factorization.

11312111121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984312 (or 15984305 counting only the distinct ones).

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 1131211 and 1121311, that added together give a palindrome (2252522).

The spelling of 11312111121311 in words is "eleven trillion, three hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, three hundred eleven".