11331123311313 has 12 divisors (see below), whose sum is σ = 17626191817780. Its totient is φ = 6972998960736.

The previous prime is 11331123311303. The next prime is 11331123311329. The reversal of 11331123311313 is 31311332113311.

11331123311313 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 12 + 331 + 1 + 313 = 666.

11331123311313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7202395977984 + 4128727333329 = 2683728^2 + 2031927^2 .

It is not a de Polignac number, because 11331123311313 - 2⁵ = 11331123311281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331123311303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48423603778 + ... + 48423604011.

Almost surely, 2^{11331123311313} is an apocalyptic number.

11331123311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11331123311313 is a deficient number, since it is larger than the sum of its proper divisors (6295068506467).

11331123311313 is a wasteful number, since it uses less digits than its factorization.

11331123311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96847207808 (or 96847207805 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 11331123311313 its reverse (31311332113311), we get a palindrome (42642455424624).

The spelling of 11331123311313 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, three hundred thirteen".