220132131300 has 288 divisors, whose sum is σ = 750641955840. Its totient is φ = 55150848000.

The previous prime is 220132131287. The next prime is 220132131337. The reversal of 220132131300 is 3131231022.

220132131300 is a `hidden beast` number, since 2 + 201 + 32 + 131 + 300 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27857350 + ... + 27865250.

It is an arithmetic number, because the mean of its divisors is an integer number (2606395680).

Almost surely, 2^220132131300 is an apocalyptic number.

220132131300 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 220132131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375320977920).

220132131300 is an abundant number, since it is smaller than the sum of its proper divisors (530509824540).

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

220132131300 is a wasteful number, since it uses less digits than its factorization.

220132131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8535 counting only the distinct ones).

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

Adding to 220132131300 its reverse (3131231022), we get a palindrome (223263362322).

The spelling of 220132131300 in words is "two hundred twenty billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred".