220100133311300 has 144 divisors (see below), whose sum is σ = 548548588351680. Its totient is φ = 75811728384000.

The previous prime is 220100133311203. The next prime is 220100133311321. The reversal of 220100133311300 is 3113331001022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129088340 + ... + 130782260.

Almost surely, 2^{220100133311300} is an apocalyptic number.

220100133311300 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 220100133311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274274294175840).

220100133311300 is an abundant number, since it is smaller than the sum of its proper divisors (328448455040380).

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

220100133311300 is a wasteful number, since it uses less digits than its factorization.

220100133311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700182 (or 1700175 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 220100133311300 its reverse (3113331001022), we get a palindrome (223213464312322).

The spelling of 220100133311300 in words is "two hundred twenty trillion, one hundred billion, one hundred thirty-three million, three hundred eleven thousand, three hundred".