1023136064013 has 48 divisors (see below), whose sum is σ = 1671037463040. Its totient is φ = 553675500000.

The previous prime is 1023136063997. The next prime is 1023136064017. The reversal of 1023136064013 is 3104606313201.

It is not a de Polignac number, because 1023136064013 - 2⁴ = 1023136063997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023136064017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7729638 + ... + 7860888.

It is an arithmetic number, because the mean of its divisors is an integer number (34813280480).

Almost surely, 2^{1023136064013} is an apocalyptic number.

It is an amenable number.

1023136064013 is a deficient number, since it is larger than the sum of its proper divisors (647901399027).

1023136064013 is a wasteful number, since it uses less digits than its factorization.

1023136064013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134078 (or 134071 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 1023136064013 in words is "one trillion, twenty-three billion, one hundred thirty-six million, sixty-four thousand, thirteen".