121311113121 has 48 divisors (see below), whose sum is σ = 196450837440. Its totient is φ = 71488344960.

The previous prime is 121311113087. The next prime is 121311113141.

121311113121 is a `hidden beast` number, since 121 + 311 + 113 + 121 = 666.

121311113121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121311113121 - 2²³ = 121302724513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121311113094 and 121311113103.

It is not an unprimeable number, because it can be changed into a prime (121311113141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6103626 + ... + 6123468.

It is an arithmetic number, because the mean of its divisors is an integer number (4092725780).

Almost surely, 2^121311113121 is an apocalyptic number.

121311113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121311113121 is a deficient number, since it is larger than the sum of its proper divisors (75139724319).

121311113121 is a wasteful number, since it uses less digits than its factorization.

121311113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566 (or 21563 counting only the distinct ones).

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

It can be divided in two parts, 121311 and 113121, that added together give a palindrome (234432).

The spelling of 121311113121 in words is "one hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand, one hundred twenty-one".