113310311121 has 18 divisors (see below), whose sum is σ = 190392156162. Its totient is φ = 64748748960.

The previous prime is 113310311111. The next prime is 113310311143. The reversal of 113310311121 is 121113013311.

113310311121 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 311 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86238544896 + 27071766225 = 293664^2 + 164535^2 .

It is not a de Polignac number, because 113310311121 - 2¹⁸ = 113310048977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113310311094 and 113310311103.

It is not an unprimeable number, because it can be changed into a prime (113310311111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128469300 + ... + 128470181.

It is an arithmetic number, because the mean of its divisors is an integer number (10577342009).

Almost surely, 2^113310311121 is an apocalyptic number.

It is an amenable number.

113310311121 is a deficient number, since it is larger than the sum of its proper divisors (77081845041).

113310311121 is a wasteful number, since it uses less digits than its factorization.

113310311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256939501 (or 256939491 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113310311121 its reverse (121113013311), we get a palindrome (234423324432).

The spelling of 113310311121 in words is "one hundred thirteen billion, three hundred ten million, three hundred eleven thousand, one hundred twenty-one".