113103343301311 has 24 divisors (see below), whose sum is σ = 125010561285792. Its totient is φ = 102250280721600.

The previous prime is 113103343301251. The next prime is 113103343301323.

113103343301311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113103343301311 - 2⁹ = 113103343300799 is a prime.

It is a super-2 number, since 2×113103343301311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113103343301311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113103343305311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391264181 + ... + 1391345473.

It is an arithmetic number, because the mean of its divisors is an integer number (5208773386908).

Almost surely, 2^{113103343301311} is an apocalyptic number.

113103343301311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113103343301311 is a deficient number, since it is larger than the sum of its proper divisors (11907217984481).

113103343301311 is a wasteful number, since it uses less digits than its factorization.

113103343301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145023 (or 145012 counting only the distinct ones).

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

The spelling of 113103343301311 in words is "one hundred thirteen trillion, one hundred three billion, three hundred forty-three million, three hundred one thousand, three hundred eleven".