221311113313 has 2 divisors, whose sum is σ = 221311113314. Its totient is φ = 221311113312.

The previous prime is 221311113229. The next prime is 221311113341. The reversal of 221311113313 is 313311113122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220963924624 + 347188689 = 470068^2 + 18633^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311113313 - 2¹³ = 221311105121 is a prime.

It is not a weakly prime, because it can be changed into another prime (221311113343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655556656 + 110655556657.

It is an arithmetic number, because the mean of its divisors is an integer number (110655556657).

Almost surely, 2^221311113313 is an apocalyptic number.

It is an amenable number.

221311113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311113313 is an equidigital number, since it uses as much as digits as its factorization.

221311113313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 22.

Adding to 221311113313 its reverse (313311113122), we get a palindrome (534622226435).

The spelling of 221311113313 in words is "two hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand, three hundred thirteen".