315131338860 has 768 divisors, whose sum is σ = 1104502210560. Its totient is φ = 66249031680.

The previous prime is 315131338721. The next prime is 315131338861. The reversal of 315131338860 is 68833131513.

It is a super-2 number, since 2×315131338860² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315131338861) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1226191852 + ... + 1226192108.

It is an arithmetic number, because the mean of its divisors is an integer number (1438153920).

Almost surely, 2^315131338860 is an apocalyptic number.

315131338860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315131338860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552251105280).

315131338860 is an abundant number, since it is smaller than the sum of its proper divisors (789370871700).

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

315131338860 is a wasteful number, since it uses less digits than its factorization.

315131338860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 315131338860 in words is "three hundred fifteen billion, one hundred thirty-one million, three hundred thirty-eight thousand, eight hundred sixty".