1310507320320 has 1232 divisors, whose sum is σ = 5238669954240. Its totient is φ = 311736729600.

The previous prime is 1310507320273. The next prime is 1310507320327. The reversal of 1310507320320 is 230237050131.

1310507320320 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 0 + 7 + 320 + 320 = 666.

It is a super-2 number, since 2×1310507320320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1310507320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2422379250 + ... + 2422379790.

Almost surely, 2^{1310507320320} is an apocalyptic number.

1310507320320 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 1310507320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619334977120).

1310507320320 is an abundant number, since it is smaller than the sum of its proper divisors (3928162633920).

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

1310507320320 is an equidigital number, since it uses as much as digits as its factorization.

1310507320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 1310507320320 in words is "one trillion, three hundred ten billion, five hundred seven million, three hundred twenty thousand, three hundred twenty".