1315031416320 has 320 divisors, whose sum is σ = 4232403394560. Its totient is φ = 348313878528.

The previous prime is 1315031416229. The next prime is 1315031416337. The reversal of 1315031416320 is 236141305131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913850161 + ... + 913851599.

It is an arithmetic number, because the mean of its divisors is an integer number (13226260608).

Almost surely, 2^{1315031416320} is an apocalyptic number.

1315031416320 is a gapful number since it is divisible by the number (10) 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 1315031416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116201697280).

1315031416320 is an abundant number, since it is smaller than the sum of its proper divisors (2917371978240).

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

1315031416320 is a wasteful number, since it uses less digits than its factorization.

1315031416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 1315031416320 in words is "one trillion, three hundred fifteen billion, thirty-one million, four hundred sixteen thousand, three hundred twenty".