315121115516130 has 576 divisors, whose sum is σ = 1092844185907968. Its totient is φ = 61183603445760.

The previous prime is 315121115516099. The next prime is 315121115516173. The reversal of 315121115516130 is 31615511121513.

315121115516130 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 2 + 1 + 1 + 1 + 5 + 516 + 130 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 181763542 + ... + 183489038.

It is an arithmetic number, because the mean of its divisors is an integer number (1897298933868).

Almost surely, 2^{315121115516130} is an apocalyptic number.

315121115516130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315121115516130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546422092953984).

315121115516130 is an abundant number, since it is smaller than the sum of its proper divisors (777723070391838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315121115516130 is a wasteful number, since it uses less digits than its factorization.

315121115516130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725639 (or 1725617 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

Adding to 315121115516130 its reverse (31615511121513), we get a palindrome (346736626637643).

The spelling of 315121115516130 in words is "three hundred fifteen trillion, one hundred twenty-one billion, one hundred fifteen million, five hundred sixteen thousand, one hundred thirty".