2013063107664 has 80 divisors (see below), whose sum is σ = 5943563698688. Its totient is φ = 575138192256.

The previous prime is 2013063107639. The next prime is 2013063107723. The reversal of 2013063107664 is 4667013603102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9595539 + ... + 9803085.

Almost surely, 2^{2013063107664} is an apocalyptic number.

2013063107664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013063107664 is an abundant number, since it is smaller than the sum of its proper divisors (3930500591024).

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

2013063107664 is a wasteful number, since it uses less digits than its factorization.

2013063107664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236432 (or 236426 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 2013063107664 in words is "two trillion, thirteen billion, sixty-three million, one hundred seven thousand, six hundred sixty-four".