11113201221313 has 2 divisors, whose sum is σ = 11113201221314. Its totient is φ = 11113201221312.

The previous prime is 11113201221271. The next prime is 11113201221329. The reversal of 11113201221313 is 31312210231111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10095063716529 + 1018137504784 = 3177273^2 + 1009028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11113201221313 is a prime.

It is a super-3 number, since 3×11113201221313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11113201221383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556600610656 + 5556600610657.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600610657).

Almost surely, 2^{11113201221313} is an apocalyptic number.

It is an amenable number.

11113201221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113201221313 is an equidigital number, since it uses as much as digits as its factorization.

11113201221313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11113201221313 its reverse (31312210231111), we get a palindrome (42425411452424).

The spelling of 11113201221313 in words is "eleven trillion, one hundred thirteen billion, two hundred one million, two hundred twenty-one thousand, three hundred thirteen".