11313131311013 has 24 divisors (see below), whose sum is σ = 13376824777080. Its totient is φ = 9537353320320.

The previous prime is 11313131310991. The next prime is 11313131311019. The reversal of 11313131311013 is 31011313131311.

It can be written as a sum of positive squares in 4 ways, for example, as 3819433109569 + 7493698201444 = 1954337^2 + 2737462^2 .

It is not a de Polignac number, because 11313131311013 - 2¹⁶ = 11313131245477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11313131311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313131311019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46593995 + ... + 46836167.

It is an arithmetic number, because the mean of its divisors is an integer number (557367699045).

Almost surely, 2^{11313131311013} is an apocalyptic number.

It is an amenable number.

11313131311013 is a deficient number, since it is larger than the sum of its proper divisors (2063693466067).

11313131311013 is a wasteful number, since it uses less digits than its factorization.

11313131311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257877 (or 257870 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 11313131311013 its reverse (31011313131311), we get a palindrome (42324444442324).

The spelling of 11313131311013 in words is "eleven trillion, three hundred thirteen billion, one hundred thirty-one million, three hundred eleven thousand, thirteen".