2113221421311 has 192 divisors, whose sum is σ = 4017531248640. Its totient is φ = 954030286080.

The previous prime is 2113221421291. The next prime is 2113221421373. The reversal of 2113221421311 is 1131241223112.

It is not a de Polignac number, because 2113221421311 - 2⁷ = 2113221421183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113221421711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176699550 + ... + 176711508.

It is an arithmetic number, because the mean of its divisors is an integer number (20924641920).

Almost surely, 2^{2113221421311} is an apocalyptic number.

2113221421311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113221421311 is a deficient number, since it is larger than the sum of its proper divisors (1904309827329).

2113221421311 is a wasteful number, since it uses less digits than its factorization.

2113221421311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 12175 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 2113221421311 its reverse (1131241223112), we get a palindrome (3244462644423).

The spelling of 2113221421311 in words is "two trillion, one hundred thirteen billion, two hundred twenty-one million, four hundred twenty-one thousand, three hundred eleven".