11312011021311 has 432 divisors, whose sum is σ = 22886869824000. Its totient is φ = 5238683112960.

The previous prime is 11312011021301. The next prime is 11312011021319.

11312011021311 is a `hidden beast` number, since 1 + 131 + 201 + 1 + 0 + 21 + 311 = 666.

11312011021311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11312011021311 - 2¹¹ = 11312011019263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312011021319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 26997639460 + ... + 26997639878.

Almost surely, 2^{11312011021311} is an apocalyptic number.

11312011021311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312011021311 is an abundant number, since it is smaller than the sum of its proper divisors (11574858802689).

11312011021311 is a wasteful number, since it uses less digits than its factorization.

11312011021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 689 counting only the distinct ones).

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

It can be divided in two parts, 1131201 and 1021311, that added together give a palindrome (2152512).

The spelling of 11312011021311 in words is "eleven trillion, three hundred twelve billion, eleven million, twenty-one thousand, three hundred eleven".