11331320313213 has 24 divisors (see below), whose sum is σ = 16973882671200. Its totient is φ = 7554116665008.

The previous prime is 11331320313167. The next prime is 11331320313259. The reversal of 11331320313213 is 31231302313311.

11331320313213 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 320 + 313 + 21 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (11331320313167) and next prime (11331320313259).

It is not a de Polignac number, because 11331320313213 - 2⁸ = 11331320312957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331320313013) 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, 22149018 + ... + 22654836.

It is an arithmetic number, because the mean of its divisors is an integer number (707245111300).

Almost surely, 2^{11331320313213} is an apocalyptic number.

It is an amenable number.

11331320313213 is a deficient number, since it is larger than the sum of its proper divisors (5642562357987).

11331320313213 is an frugal number, since it uses more digits than its factorization.

11331320313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598023 (or 598011 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331320313213 its reverse (31231302313311), we get a palindrome (42562622626524).

The spelling of 11331320313213 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty million, three hundred thirteen thousand, two hundred thirteen".