220131003320100 has 216 divisors, whose sum is σ = 712501719471360. Its totient is φ = 56787612192000.

The previous prime is 220131003320077. The next prime is 220131003320149. The reversal of 220131003320100 is 1023300131022.

220131003320100 is a `hidden beast` number, since 2 + 20 + 1 + 310 + 0 + 3 + 320 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76398615 + ... + 79227585.

Almost surely, 2^{220131003320100} is an apocalyptic number.

220131003320100 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 220131003320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356250859735680).

220131003320100 is an abundant number, since it is smaller than the sum of its proper divisors (492370716151260).

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

220131003320100 is a wasteful number, since it uses less digits than its factorization.

220131003320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831811 (or 2831801 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220131003320100 its reverse (1023300131022), we get a palindrome (221154303451122).

The spelling of 220131003320100 in words is "two hundred twenty trillion, one hundred thirty-one billion, three million, three hundred twenty thousand, one hundred".