1313401313413 has 48 divisors (see below), whose sum is σ = 1727299728000. Its totient is φ = 989913222144.

The previous prime is 1313401313407. The next prime is 1313401313431. The reversal of 1313401313413 is 3143131043131.

It is a happy number.

It is not a de Polignac number, because 1313401313413 - 2⁵ = 1313401313381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313401313113) 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, 26713 + ... + 1620961.

It is an arithmetic number, because the mean of its divisors is an integer number (35985411000).

Almost surely, 2^{1313401313413} is an apocalyptic number.

It is an amenable number.

1313401313413 is a deficient number, since it is larger than the sum of its proper divisors (413898414587).

1313401313413 is a wasteful number, since it uses less digits than its factorization.

1313401313413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594346 (or 1594339 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 1313401313413 its reverse (3143131043131), we get a palindrome (4456532356544).

The spelling of 1313401313413 in words is "one trillion, three hundred thirteen billion, four hundred one million, three hundred thirteen thousand, four hundred thirteen".