113313202313311 has 96 divisors (see below), whose sum is σ = 154458266135040. Its totient is φ = 80885921276160.

The previous prime is 113313202313287. The next prime is 113313202313321.

It is a happy number.

113313202313311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113313202313311 - 2⁷ = 113313202313183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113313202313311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313202313321) 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 95 ways as a sum of consecutive naturals, for example, 1429617600 + ... + 1429696858.

It is an arithmetic number, because the mean of its divisors is an integer number (1608940272240).

Almost surely, 2^{113313202313311} is an apocalyptic number.

113313202313311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113313202313311 is a deficient number, since it is larger than the sum of its proper divisors (41145063821729).

113313202313311 is a wasteful number, since it uses less digits than its factorization.

113313202313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80285 (or 80274 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 11331320 and 2313311, that added together give a palindrome (13644631).

The spelling of 113313202313311 in words is "one hundred thirteen trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand, three hundred eleven".