10013301211313 has 32 divisors (see below), whose sum is σ = 11031820800000. Its totient is φ = 9046455181632.

The previous prime is 10013301211301. The next prime is 10013301211339. The reversal of 10013301211313 is 31311210331001.

It is a cyclic number.

It is not a de Polignac number, because 10013301211313 - 2¹⁶ = 10013301145777 is a prime.

It is a super-2 number, since 2×10013301211313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013301211373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268369703 + ... + 268407011.

It is an arithmetic number, because the mean of its divisors is an integer number (344744400000).

Almost surely, 2^{10013301211313} is an apocalyptic number.

It is an amenable number.

10013301211313 is a deficient number, since it is larger than the sum of its proper divisors (1018519588687).

10013301211313 is a wasteful number, since it uses less digits than its factorization.

10013301211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39189.

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

Adding to 10013301211313 its reverse (31311210331001), we get a palindrome (41324511542314).

The spelling of 10013301211313 in words is "ten trillion, thirteen billion, three hundred one million, two hundred eleven thousand, three hundred thirteen".