121313313121 has 32 divisors (see below), whose sum is σ = 162912347136. Its totient is φ = 87242184000.

The previous prime is 121313313113. The next prime is 121313313139.

121313313121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121313313121 - 2³ = 121313313113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121313313092 and 121313313101.

It is not an unprimeable number, because it can be changed into a prime (121313313101) 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, 9093426 + ... + 9106756.

It is an arithmetic number, because the mean of its divisors is an integer number (5091010848).

Almost surely, 2^121313313121 is an apocalyptic number.

121313313121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121313313121 is a deficient number, since it is larger than the sum of its proper divisors (41599034015).

121313313121 is a wasteful number, since it uses less digits than its factorization.

121313313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22453.

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 121313 and 313121, that added together give a palindrome (434434).

The spelling of 121313313121 in words is "one hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred twenty-one".