1310821330460 has 96 divisors (see below), whose sum is σ = 2951041766400. Its totient is φ = 487631854080.

The previous prime is 1310821330459. The next prime is 1310821330487. The reversal of 1310821330460 is 640331280131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6182081 + ... + 6390599.

It is an arithmetic number, because the mean of its divisors is an integer number (30740018400).

Almost surely, 2^{1310821330460} is an apocalyptic number.

1310821330460 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 1310821330460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475520883200).

1310821330460 is an abundant number, since it is smaller than the sum of its proper divisors (1640220435940).

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

1310821330460 is a wasteful number, since it uses less digits than its factorization.

1310821330460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208851 (or 208849 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1310821330460 in words is "one trillion, three hundred ten billion, eight hundred twenty-one million, three hundred thirty thousand, four hundred sixty".