11313133102013 has 2 divisors, whose sum is σ = 11313133102014. Its totient is φ = 11313133102012.

The previous prime is 11313133101989. The next prime is 11313133102091. The reversal of 11313133102013 is 31020133131311.

11313133102013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10008599067769 + 1304534034244 = 3163637^2 + 1142162^2 .

It is a cyclic number.

It is not a de Polignac number, because 11313133102013 - 2²² = 11313128907709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11313133102013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11313133102213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656566551006 + 5656566551007.

It is an arithmetic number, because the mean of its divisors is an integer number (5656566551007).

Almost surely, 2^{11313133102013} is an apocalyptic number.

It is an amenable number.

11313133102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11313133102013 is an equidigital number, since it uses as much as digits as its factorization.

11313133102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11313133102013 its reverse (31020133131311), we get a palindrome (42333266233324).

The spelling of 11313133102013 in words is "eleven trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred two thousand, thirteen".