1313237322864 has 240 divisors, whose sum is σ = 3859455880800. Its totient is φ = 416277356544.

The previous prime is 1313237322833. The next prime is 1313237322871. The reversal of 1313237322864 is 4682237323131.

1313237322864 is a `hidden beast` number, since 1 + 3 + 13 + 237 + 322 + 86 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 252106692 + ... + 252111900.

It is an arithmetic number, because the mean of its divisors is an integer number (16081066170).

Almost surely, 2^{1313237322864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313237322864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929727940400).

1313237322864 is an abundant number, since it is smaller than the sum of its proper divisors (2546218557936).

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

1313237322864 is a wasteful number, since it uses less digits than its factorization.

1313237322864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6143 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 1313237322864 in words is "one trillion, three hundred thirteen billion, two hundred thirty-seven million, three hundred twenty-two thousand, eight hundred sixty-four".