121413314121 has 32 divisors (see below), whose sum is σ = 178413843456. Its totient is φ = 72829080000.

The previous prime is 121413314107. The next prime is 121413314159.

121413314121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121413314121 - 2¹⁷ = 121413183049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121413314091 and 121413314100.

It is not an unprimeable number, because it can be changed into a prime (121413314161) 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, 13350786 + ... + 13359876.

It is an arithmetic number, because the mean of its divisors is an integer number (5575432608).

Almost surely, 2^121413314121 is an apocalyptic number.

121413314121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121413314121 is a deficient number, since it is larger than the sum of its proper divisors (57000529335).

121413314121 is a wasteful number, since it uses less digits than its factorization.

121413314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 121413 and 314121, that added together give a palindrome (435534).

The spelling of 121413314121 in words is "one hundred twenty-one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred twenty-one".