11312555521311 has 144 divisors (see below), whose sum is σ = 18961792065216. Its totient is φ = 6481263360000.

The previous prime is 11312555521301. The next prime is 11312555521313.

11312555521311 is a `hidden beast` number, since 1 + 1 + 3 + 125 + 5 + 5 + 521 + 3 + 1 + 1 = 666.

11312555521311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11312555521311 - 2²³ = 11312547132703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312555521313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1500136201 + ... + 1500143741.

It is an arithmetic number, because the mean of its divisors is an integer number (131679111564).

Almost surely, 2^{11312555521311} is an apocalyptic number.

11312555521311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312555521311 is a deficient number, since it is larger than the sum of its proper divisors (7649236543905).

11312555521311 is a wasteful number, since it uses less digits than its factorization.

11312555521311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8272 counting only the distinct ones).

The product of its digits is 22500, while the sum is 36.

It can be divided in two parts, 1131255 and 5521311, that added together give a palindrome (6652566).

The spelling of 11312555521311 in words is "eleven trillion, three hundred twelve billion, five hundred fifty-five million, five hundred twenty-one thousand, three hundred eleven".