1310821926912 has 240 divisors, whose sum is σ = 3962540902320. Its totient is φ = 431671762944.

The previous prime is 1310821926809. The next prime is 1310821926917. The reversal of 1310821926912 is 2196291280131.

1310821926912 is a `hidden beast` number, since 1 + 310 + 82 + 192 + 69 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1310821926917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13721103 + ... + 13816305.

It is an arithmetic number, because the mean of its divisors is an integer number (16510587093).

Almost surely, 2^{1310821926912} is an apocalyptic number.

1310821926912 is a gapful number since it is divisible by the number (12) 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 1310821926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981270451160).

1310821926912 is an abundant number, since it is smaller than the sum of its proper divisors (2651718975408).

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

1310821926912 is an frugal number, since it uses more digits than its factorization.

1310821926912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95320 (or 95291 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1310821926912 in words is "one trillion, three hundred ten billion, eight hundred twenty-one million, nine hundred twenty-six thousand, nine hundred twelve".