221313223131 has 288 divisors, whose sum is σ = 423570663936. Its totient is φ = 99740160000.

The previous prime is 221313223129. The next prime is 221313223139. The reversal of 221313223131 is 131322313122.

It is not a de Polignac number, because 221313223131 - 2¹ = 221313223129 is a prime.

It is a super-2 number, since 2×221313223131² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313223139) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2191219981 + ... + 2191220081.

It is an arithmetic number, because the mean of its divisors is an integer number (1470731472).

Almost surely, 2^221313223131 is an apocalyptic number.

221313223131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221313223131 is a deficient number, since it is larger than the sum of its proper divisors (202257440805).

221313223131 is a wasteful number, since it uses less digits than its factorization.

221313223131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 213 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 221313223131 its reverse (131322313122), we get a palindrome (352635536253).

It can be divided in two parts, 221313 and 223131, that added together give a palindrome (444444).

The spelling of 221313223131 in words is "two hundred twenty-one billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred thirty-one".