221033013312231 has 64 divisors (see below), whose sum is σ = 354103520348160. Its totient is φ = 135733488353280.

The previous prime is 221033013312227. The next prime is 221033013312263. The reversal of 221033013312231 is 132213310330122.

221033013312231 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 3 + 301 + 331 + 2 + 23 + 1 = 666.

It is not a de Polignac number, because 221033013312231 - 2² = 221033013312227 is a prime.

It is a super-2 number, since 2×221033013312231² (a number of 29 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 = 221033013312195 and 221033013312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221033063312231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1260357991 + ... + 1260533351.

It is an arithmetic number, because the mean of its divisors is an integer number (5532867505440).

Almost surely, 2^{221033013312231} is an apocalyptic number.

221033013312231 is a deficient number, since it is larger than the sum of its proper divisors (133070507035929).

221033013312231 is a wasteful number, since it uses less digits than its factorization.

221033013312231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233861 (or 233855 counting only the distinct ones).

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

Adding to 221033013312231 its reverse (132213310330122), we get a palindrome (353246323642353).

The spelling of 221033013312231 in words is "two hundred twenty-one trillion, thirty-three billion, thirteen million, three hundred twelve thousand, two hundred thirty-one".