313121415141 has 96 divisors (see below), whose sum is σ = 498161664000. Its totient is φ = 188667947520.

The previous prime is 313121415109. The next prime is 313121415157. The reversal of 313121415141 is 141514121313.

313121415141 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 2 + 141 + 514 + 1 = 666.

It is not a de Polignac number, because 313121415141 - 2⁵ = 313121415109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121419141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522739960 + ... + 522740558.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184000).

Almost surely, 2^313121415141 is an apocalyptic number.

313121415141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313121415141 is a deficient number, since it is larger than the sum of its proper divisors (185040248859).

313121415141 is a wasteful number, since it uses less digits than its factorization.

313121415141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1316 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 313121415141 its reverse (141514121313), we get a palindrome (454635536454).

The spelling of 313121415141 in words is "three hundred thirteen billion, one hundred twenty-one million, four hundred fifteen thousand, one hundred forty-one".