11331133013113 has 8 divisors (see below), whose sum is σ = 11363729102600. Its totient is φ = 11298537659520.

The previous prime is 11331133013099. The next prime is 11331133013177. The reversal of 11331133013113 is 31131033113311.

11331133013113 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 4 ways, for example, as 2207640270969 + 9123492742144 = 1485813^2 + 3020512^2 .

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 11331133013113 - 2²¹ = 11331130915961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331133013713) 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, 51381781 + ... + 51601837.

It is an arithmetic number, because the mean of its divisors is an integer number (1420466137825).

Almost surely, 2^{11331133013113} is an apocalyptic number.

It is an amenable number.

11331133013113 is a deficient number, since it is larger than the sum of its proper divisors (32596089487).

11331133013113 is a wasteful number, since it uses less digits than its factorization.

11331133013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367947.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 11331133013113 its reverse (31131033113311), we get a palindrome (42462166126424).

The spelling of 11331133013113 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-three million, thirteen thousand, one hundred thirteen".