313130102401121 has 16 divisors (see below), whose sum is σ = 313510294056960. Its totient is φ = 312750218400720.

The previous prime is 313130102401073. The next prime is 313130102401141. The reversal of 313130102401121 is 121104201031313.

It is a cyclic number.

It is not a de Polignac number, because 313130102401121 - 2²² = 313130098206817 is a prime.

It is a super-2 number, since 2×313130102401121² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313130102401141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21045096560 + ... + 21045111438.

It is an arithmetic number, because the mean of its divisors is an integer number (19594393378560).

Almost surely, 2^{313130102401121} is an apocalyptic number.

It is an amenable number.

313130102401121 is a deficient number, since it is larger than the sum of its proper divisors (380191655839).

313130102401121 is a wasteful number, since it uses less digits than its factorization.

313130102401121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23596.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 313130102401121 its reverse (121104201031313), we get a palindrome (434234303432434).

The spelling of 313130102401121 in words is "three hundred thirteen trillion, one hundred thirty billion, one hundred two million, four hundred one thousand, one hundred twenty-one".