2013401313 has 64 divisors (see below), whose sum is σ = 3726950400. Its totient is φ = 1043642880.

The previous prime is 2013401303. The next prime is 2013401321. The reversal of 2013401313 is 3131043102.

It is not a de Polignac number, because 2013401313 - 2⁵ = 2013401281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013401303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1398448 + ... + 1399886.

It is an arithmetic number, because the mean of its divisors is an integer number (58233600).

Almost surely, 2^2013401313 is an apocalyptic number.

It is an amenable number.

2013401313 is a deficient number, since it is larger than the sum of its proper divisors (1713549087).

2013401313 is a wasteful number, since it uses less digits than its factorization.

2013401313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2013401313 is about 44870.9406297662. The cubic root of 2013401313 is about 1262.7288871420.

Adding to 2013401313 its reverse (3131043102), we get a palindrome (5144444415).

The spelling of 2013401313 in words is "two billion, thirteen million, four hundred one thousand, three hundred thirteen".