221823290313 has 32 divisors (see below), whose sum is σ = 329610078720. Its totient is φ = 147440405520.

The previous prime is 221823290233. The next prime is 221823290321. The reversal of 221823290313 is 313092328122.

It is a happy number.

221823290313 is a `hidden beast` number, since 2 + 2 + 18 + 2 + 329 + 0 + 313 = 666.

It is not a de Polignac number, because 221823290313 - 2³² = 217528323017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221823297313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16271406 + ... + 16285032.

It is an arithmetic number, because the mean of its divisors is an integer number (10300314960).

Almost surely, 2^221823290313 is an apocalyptic number.

It is an amenable number.

221823290313 is a deficient number, since it is larger than the sum of its proper divisors (107786788407).

221823290313 is a wasteful number, since it uses less digits than its factorization.

221823290313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 221823290313 in words is "two hundred twenty-one billion, eight hundred twenty-three million, two hundred ninety thousand, three hundred thirteen".