221343131331 has 80 divisors (see below), whose sum is σ = 383681126400. Its totient is φ = 124549918272.

The previous prime is 221343131311. The next prime is 221343131333. The reversal of 221343131331 is 133131343122.

221343131331 is a `hidden beast` number, since 2 + 2 + 1 + 343 + 1 + 313 + 3 + 1 = 666.

It is not a de Polignac number, because 221343131331 - 2⁷ = 221343131203 is a prime.

It is a super-2 number, since 2×221343131331² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221343131295 and 221343131304.

It is not an unprimeable number, because it can be changed into a prime (221343131333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17418126 + ... + 17430828.

It is an arithmetic number, because the mean of its divisors is an integer number (4796014080).

Almost surely, 2^221343131331 is an apocalyptic number.

221343131331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221343131331 is a deficient number, since it is larger than the sum of its proper divisors (162337995069).

221343131331 is a wasteful number, since it uses less digits than its factorization.

221343131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13190 (or 13181 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 221343131331 its reverse (133131343122), we get a palindrome (354474474453).

The spelling of 221343131331 in words is "two hundred twenty-one billion, three hundred forty-three million, one hundred thirty-one thousand, three hundred thirty-one".