1321315312410 has 48 divisors (see below), whose sum is σ = 3454612143840. Its totient is φ = 350382305760.

The previous prime is 1321315312403. The next prime is 1321315312411. The reversal of 1321315312410 is 142135131231.

1321315312410 is a `hidden beast` number, since 1 + 3 + 21 + 315 + 312 + 4 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (1321315312411) 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 23 ways as a sum of consecutive naturals, for example, 40993056 + ... + 41025275.

It is an arithmetic number, because the mean of its divisors is an integer number (71971086330).

Almost surely, 2^{1321315312410} is an apocalyptic number.

1321315312410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321315312410 is an abundant number, since it is smaller than the sum of its proper divisors (2133296831430).

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

1321315312410 is a wasteful number, since it uses less digits than its factorization.

1321315312410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82018523 (or 82018520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1321315312410 in words is "one trillion, three hundred twenty-one billion, three hundred fifteen million, three hundred twelve thousand, four hundred ten".