220330323131000 has 128 divisors (see below), whose sum is σ = 546002115984000. Its totient is φ = 82932488243200.

The previous prime is 220330323130751. The next prime is 220330323131033. The reversal of 220330323131000 is 131323033022.

It is a super-2 number, since 2×220330323131000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 90582722 + ... + 92983278.

It is an arithmetic number, because the mean of its divisors is an integer number (4265641531125).

Almost surely, 2^{220330323131000} is an apocalyptic number.

220330323131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220330323131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273001057992000).

220330323131000 is an abundant number, since it is smaller than the sum of its proper divisors (325671792853000).

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

220330323131000 is a wasteful number, since it uses less digits than its factorization.

220330323131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405994 (or 2405980 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 220330323131000 its reverse (131323033022), we get a palindrome (220461646164022).

The spelling of 220330323131000 in words is "two hundred twenty trillion, three hundred thirty billion, three hundred twenty-three million, one hundred thirty-one thousand".