2113013101313 has 8 divisors (see below), whose sum is σ = 2123806068648. Its totient is φ = 2102220811264.

The previous prime is 2113013101267. The next prime is 2113013101327. The reversal of 2113013101313 is 3131013103112.

It can be written as a sum of positive squares in 4 ways, for example, as 2011129568449 + 101883532864 = 1418143^2 + 319192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2113013101313 - 2¹⁴ = 2113013084929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113013101513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6820895 + ... + 7123947.

It is an arithmetic number, because the mean of its divisors is an integer number (265475758581).

Almost surely, 2^{2113013101313} is an apocalyptic number.

It is an amenable number.

2113013101313 is a deficient number, since it is larger than the sum of its proper divisors (10792967335).

2113013101313 is a wasteful number, since it uses less digits than its factorization.

2113013101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338643.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 2113013101313 its reverse (3131013103112), we get a palindrome (5244026204425).

The spelling of 2113013101313 in words is "two trillion, one hundred thirteen billion, thirteen million, one hundred one thousand, three hundred thirteen".