11312821311 has 24 divisors (see below), whose sum is σ = 16984076592. Its totient is φ = 6689020800.

The previous prime is 11312821271. The next prime is 11312821339.

11312821311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11312821311 - 2⁷ = 11312821183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312821111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365176 + ... + 394941.

It is an arithmetic number, because the mean of its divisors is an integer number (707669858).

Almost surely, 2^11312821311 is an apocalyptic number.

11312821311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312821311 is a deficient number, since it is larger than the sum of its proper divisors (5671255281).

11312821311 is a wasteful number, since it uses less digits than its factorization.

11312821311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760183 (or 760172 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 11312821311 in words is "eleven billion, three hundred twelve million, eight hundred twenty-one thousand, three hundred eleven".