2220133131113 has 2 divisors, whose sum is σ = 2220133131114. Its totient is φ = 2220133131112.

The previous prime is 2220133131023. The next prime is 2220133131119. The reversal of 2220133131113 is 3111313310222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2137233477184 + 82899653929 = 1461928^2 + 287923^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220133131113 - 2³⁸ = 1945255224169 is a prime.

It is a super-2 number, since 2×2220133131113² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2220133131119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110066565556 + 1110066565557.

It is an arithmetic number, because the mean of its divisors is an integer number (1110066565557).

Almost surely, 2^{2220133131113} is an apocalyptic number.

It is an amenable number.

2220133131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220133131113 is an equidigital number, since it uses as much as digits as its factorization.

2220133131113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2220133131113 its reverse (3111313310222), we get a palindrome (5331446441335).

The spelling of 2220133131113 in words is "two trillion, two hundred twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred thirteen".