11312112100311 has 48 divisors (see below), whose sum is σ = 19000822464000. Its totient is φ = 6412777413120.

The previous prime is 11312112100301. The next prime is 11312112100327. The reversal of 11312112100311 is 11300121121311.

11312112100311 is a `hidden beast` number, since 1 + 131 + 2 + 11 + 210 + 0 + 311 = 666.

It is not a de Polignac number, because 11312112100311 - 2¹¹ = 11312112098263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312112100301) 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, 37913946 + ... + 38211143.

It is an arithmetic number, because the mean of its divisors is an integer number (395850468000).

Almost surely, 2^{11312112100311} is an apocalyptic number.

11312112100311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312112100311 is a deficient number, since it is larger than the sum of its proper divisors (7688710363689).

11312112100311 is a wasteful number, since it uses less digits than its factorization.

11312112100311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76125204 (or 76125201 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11312112100311 its reverse (11300121121311), we get a palindrome (22612233221622).

The spelling of 11312112100311 in words is "eleven trillion, three hundred twelve billion, one hundred twelve million, one hundred thousand, three hundred eleven".