1310516371120 has 160 divisors (see below), whose sum is σ = 3336038337024. Its totient is φ = 474821222400.

The previous prime is 1310516371103. The next prime is 1310516371123. The reversal of 1310516371120 is 211736150131.

It is not an unprimeable number, because it can be changed into a prime (1310516371123) 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 31 ways as a sum of consecutive naturals, for example, 309739405 + ... + 309743635.

Almost surely, 2^{1310516371120} is an apocalyptic number.

1310516371120 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 1310516371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668019168512).

1310516371120 is an abundant number, since it is smaller than the sum of its proper divisors (2025521965904).

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

1310516371120 is a wasteful number, since it uses less digits than its factorization.

1310516371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 1310516371120 in words is "one trillion, three hundred ten billion, five hundred sixteen million, three hundred seventy-one thousand, one hundred twenty".