11331110322313 has 2 divisors, whose sum is σ = 11331110322314. Its totient is φ = 11331110322312.

The previous prime is 11331110322307. The next prime is 11331110322319. The reversal of 11331110322313 is 31322301113311.

It is a balanced prime because it is at equal distance from previous prime (11331110322307) and next prime (11331110322319).

It can be written as a sum of positive squares in only one way, i.e., 11193059433609 + 138050888704 = 3345603^2 + 371552^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331110322313 - 2⁴¹ = 9132087066761 is a prime.

It is a super-2 number, since 2×11331110322313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11331110322319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665555161156 + 5665555161157.

It is an arithmetic number, because the mean of its divisors is an integer number (5665555161157).

Almost surely, 2^{11331110322313} is an apocalyptic number.

It is an amenable number.

11331110322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331110322313 is an equidigital number, since it uses as much as digits as its factorization.

11331110322313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11331110322313 its reverse (31322301113311), we get a palindrome (42653411435624).

The spelling of 11331110322313 in words is "eleven trillion, three hundred thirty-one billion, one hundred ten million, three hundred twenty-two thousand, three hundred thirteen".