12313313006544 has 80 divisors (see below), whose sum is σ = 38556838722240. Its totient is φ = 3731306970240.

The previous prime is 12313313006521. The next prime is 12313313006569. The reversal of 12313313006544 is 44560031331321.

12313313006544 is a `hidden beast` number, since 1 + 2 + 313 + 31 + 300 + 6 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12313313006499 and 12313313006508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295587947 + ... + 1295597450.

It is an arithmetic number, because the mean of its divisors is an integer number (481960484028).

Almost surely, 2^{12313313006544} is an apocalyptic number.

It is an amenable number.

12313313006544 is an abundant number, since it is smaller than the sum of its proper divisors (26243525715696).

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

12313313006544 is a wasteful number, since it uses less digits than its factorization.

12313313006544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591185425 (or 2591185413 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 12313313006544 its reverse (44560031331321), we get a palindrome (56873344337865).

The spelling of 12313313006544 in words is "twelve trillion, three hundred thirteen billion, three hundred thirteen million, six thousand, five hundred forty-four".