113121141121311 has 32 divisors (see below), whose sum is σ = 155234005687488. Its totient is φ = 73229253672960.

The previous prime is 113121141121309. The next prime is 113121141121363.

113121141121311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113121141121311 - 2¹ = 113121141121309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121141121381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21552381 + ... + 26282073.

It is an arithmetic number, because the mean of its divisors is an integer number (4851062677734).

Almost surely, 2^{113121141121311} is an apocalyptic number.

113121141121311 is a deficient number, since it is larger than the sum of its proper divisors (42112864566177).

113121141121311 is a wasteful number, since it uses less digits than its factorization.

113121141121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730651.

The product of its digits is 144, while the sum is 24.

The spelling of 113121141121311 in words is "one hundred thirteen trillion, one hundred twenty-one billion, one hundred forty-one million, one hundred twenty-one thousand, three hundred eleven".