113312464213311 has 72 divisors (see below), whose sum is σ = 180046026021680. Its totient is φ = 68620657248000.

The previous prime is 113312464213241. The next prime is 113312464213331.

113312464213311 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 2 + 4 + 642 + 1 + 3 + 3 + 1 + 1 = 666.

113312464213311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113312464213311 - 2¹⁴ = 113312464196927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312464213331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12464241876 + ... + 12464250966.

Almost surely, 2^{113312464213311} is an apocalyptic number.

113312464213311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113312464213311 is a deficient number, since it is larger than the sum of its proper divisors (66733561808369).

113312464213311 is a wasteful number, since it uses less digits than its factorization.

113312464213311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16789 (or 16775 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

It can be divided in two parts, 11331 and 2464213311, that added together give a palindrome (2464224642).

The spelling of 113312464213311 in words is "one hundred thirteen trillion, three hundred twelve billion, four hundred sixty-four million, two hundred thirteen thousand, three hundred eleven".