2211113313313 has 2 divisors, whose sum is σ = 2211113313314. Its totient is φ = 2211113313312.

The previous prime is 2211113313263. The next prime is 2211113313329. The reversal of 2211113313313 is 3133133111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1450813023009 + 760300290304 = 1204497^2 + 871952^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211113313313 - 2²⁹ = 2210576442401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211113310313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105556656656 + 1105556656657.

It is an arithmetic number, because the mean of its divisors is an integer number (1105556656657).

Almost surely, 2^{2211113313313} is an apocalyptic number.

It is an amenable number.

2211113313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211113313313 is an equidigital number, since it uses as much as digits as its factorization.

2211113313313 is an evil number, because the sum of its binary digits is even.

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

Adding to 2211113313313 its reverse (3133133111122), we get a palindrome (5344246424435).

The spelling of 2211113313313 in words is "two trillion, two hundred eleven billion, one hundred thirteen million, three hundred thirteen thousand, three hundred thirteen".