1310315120 has 80 divisors (see below), whose sum is σ = 3337018560. Its totient is φ = 476270592.

The previous prime is 1310315113. The next prime is 1310315143. The reversal of 1310315120 is 215130131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1310315120² = 3433851427401228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22829 + ... + 56051.

It is an arithmetic number, because the mean of its divisors is an integer number (41712732).

Almost surely, 2^1310315120 is an apocalyptic number.

1310315120 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 1310315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668509280).

1310315120 is an abundant number, since it is smaller than the sum of its proper divisors (2026703440).

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

1310315120 is a wasteful number, since it uses less digits than its factorization.

1310315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33282 (or 33276 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1310315120 is about 36198.2750970264. The cubic root of 1310315120 is about 1094.2719095253.

Adding to 1310315120 its reverse (215130131), we get a palindrome (1525445251).

The spelling of 1310315120 in words is "one billion, three hundred ten million, three hundred fifteen thousand, one hundred twenty".