113113331321121 has 64 divisors (see below), whose sum is σ = 178576629258240. Its totient is φ = 70636109045760.

The previous prime is 113113331321119. The next prime is 113113331321143. The reversal of 113113331321121 is 121123133311311.

113113331321121 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 3 + 331 + 321 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 113113331321121 - 2¹ = 113113331321119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113113331321021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3485340 + ... + 15439373.

It is an arithmetic number, because the mean of its divisors is an integer number (2790259832160).

Almost surely, 2^{113113331321121} is an apocalyptic number.

It is an amenable number.

113113331321121 is a deficient number, since it is larger than the sum of its proper divisors (65463297937119).

113113331321121 is a wasteful number, since it uses less digits than its factorization.

113113331321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18924983 (or 18924977 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 113113331321121 its reverse (121123133311311), we get a palindrome (234236464632432).

The spelling of 113113331321121 in words is "one hundred thirteen trillion, one hundred thirteen billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred twenty-one".