1313990001 has 27 divisors (see below), whose sum is σ = 1950090987. Its totient is φ = 852576480.

The previous prime is 1313989987. The next prime is 1313990021. The reversal of 1313990001 is 1000993131.

The square root of 1313990001 is 36249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 887980401 + 426009600 = 29799^2 + 20640^2 .

It is not a de Polignac number, because 1313990001 - 2⁹ = 1313989489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313990021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4675981 + ... + 4676261.

Almost surely, 2^1313990001 is an apocalyptic number.

1313990001 is the 36249-th square number.

1313990001 is the 18125-th centered octagonal number.

It is an amenable number.

1313990001 is a deficient number, since it is larger than the sum of its proper divisors (636100986).

1313990001 is an frugal number, since it uses more digits than its factorization.

1313990001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The cubic root of 1313990001 is about 1095.2939449799.

Multiplying 1313990001 by its product of nonzero digits (729), we get a square (957898710729 = 978723²).

The spelling of 1313990001 in words is "one billion, three hundred thirteen million, nine hundred ninety thousand, one".