221023131033000 has 256 divisors, whose sum is σ = 755334226483200. Its totient is φ = 53559627878400.

The previous prime is 221023131032981. The next prime is 221023131033013. The reversal of 221023131033000 is 330131320122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73241464 + ... + 76199463.

It is an arithmetic number, because the mean of its divisors is an integer number (2950524322200).

Almost surely, 2^{221023131033000} is an apocalyptic number.

221023131033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221023131033000 is an abundant number, since it is smaller than the sum of its proper divisors (534311095450200).

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

221023131033000 is a wasteful number, since it uses less digits than its factorization.

221023131033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149440997 (or 149440983 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 221023131033000 its reverse (330131320122), we get a palindrome (221353262353122).

The spelling of 221023131033000 in words is "two hundred twenty-one trillion, twenty-three billion, one hundred thirty-one million, thirty-three thousand".