1213110113121 has 12 divisors (see below), whose sum is σ = 1753850223060. Its totient is φ = 808010817120.

The previous prime is 1213110113093. The next prime is 1213110113161.

1213110113121 is a `hidden beast` number, since 121 + 311 + 0 + 113 + 121 = 666.

1213110113121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 66197629521 + 1146912483600 = 257289^2 + 1070940^2 .

It is not a de Polignac number, because 1213110113121 - 2⁷ = 1213110112993 is a prime.

It is a super-2 number, since 2×1213110113121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1213110113094 and 1213110113103.

It is not an unprimeable number, because it can be changed into a prime (1213110113161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60760990 + ... + 60780951.

It is an arithmetic number, because the mean of its divisors is an integer number (146154185255).

Almost surely, 2^{1213110113121} is an apocalyptic number.

It is an amenable number.

1213110113121 is a deficient number, since it is larger than the sum of its proper divisors (540740109939).

1213110113121 is a wasteful number, since it uses less digits than its factorization.

1213110113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121543056 (or 121543053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 1213110 and 113121, that added together give a palindrome (1326231).

The spelling of 1213110113121 in words is "one trillion, two hundred thirteen billion, one hundred ten million, one hundred thirteen thousand, one hundred twenty-one".