221431322311320 has 64 divisors (see below), whose sum is σ = 724684327568640. Its totient is φ = 53680320560000.

The previous prime is 221431322311319. The next prime is 221431322311361. The reversal of 221431322311320 is 23113223134122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83875499556 + ... + 83875502195.

It is an arithmetic number, because the mean of its divisors is an integer number (11323192618260).

Almost surely, 2^{221431322311320} is an apocalyptic number.

221431322311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221431322311320 is an abundant number, since it is smaller than the sum of its proper divisors (503253005257320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221431322311320 is a wasteful number, since it uses less digits than its factorization.

221431322311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167751001776 (or 167751001772 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 221431322311320 its reverse (23113223134122), we get a palindrome (244544545445442).

The spelling of 221431322311320 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, three hundred twenty-two million, three hundred eleven thousand, three hundred twenty".