220113301331100 has 144 divisors (see below), whose sum is σ = 644634158773248. Its totient is φ = 57983582300160.

The previous prime is 220113301331089. The next prime is 220113301331137. The reversal of 220113301331100 is 1133103311022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618677 + ... + 21043923.

It is an arithmetic number, because the mean of its divisors is an integer number (4476626102592).

Almost surely, 2^{220113301331100} is an apocalyptic number.

220113301331100 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 220113301331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322317079386624).

220113301331100 is an abundant number, since it is smaller than the sum of its proper divisors (424520857442148).

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

220113301331100 is a wasteful number, since it uses less digits than its factorization.

220113301331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19425724 (or 19425717 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 220113301331100 its reverse (1133103311022), we get a palindrome (221246404642122).

The spelling of 220113301331100 in words is "two hundred twenty trillion, one hundred thirteen billion, three hundred one million, three hundred thirty-one thousand, one hundred".