113122444221311 has 64 divisors (see below), whose sum is σ = 147197519308800. Its totient is φ = 86426409484800.

The previous prime is 113122444221299. The next prime is 113122444221331.

113122444221311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113122444221311 - 2²⁶ = 113122377112447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113122444221331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9369740 + ... + 17721086.

It is an arithmetic number, because the mean of its divisors is an integer number (2299961239200).

Almost surely, 2^{113122444221311} is an apocalyptic number.

113122444221311 is a deficient number, since it is larger than the sum of its proper divisors (34075075087489).

113122444221311 is a wasteful number, since it uses less digits than its factorization.

113122444221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351509 (or 8351495 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 113122444221311 in words is "one hundred thirteen trillion, one hundred twenty-two billion, four hundred forty-four million, two hundred twenty-one thousand, three hundred eleven".