1310032120320 has 1280 divisors, whose sum is σ = 6143263948800. Its totient is φ = 256184156160.

The previous prime is 1310032120291. The next prime is 1310032120357. The reversal of 1310032120320 is 230212300131.

1310032120320 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 321 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1310032120320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310032120293 and 1310032120302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90470841 + ... + 90485319.

It is an arithmetic number, because the mean of its divisors is an integer number (4799424960).

Almost surely, 2^{1310032120320} is an apocalyptic number.

1310032120320 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 1310032120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071631974400).

1310032120320 is an abundant number, since it is smaller than the sum of its proper divisors (4833231828480).

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

1310032120320 is a wasteful number, since it uses less digits than its factorization.

1310032120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14546 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310032120320 its reverse (230212300131), we get a palindrome (1540244420451).

The spelling of 1310032120320 in words is "one trillion, three hundred ten billion, thirty-two million, one hundred twenty thousand, three hundred twenty".