113320022100 has 288 divisors, whose sum is σ = 345568882176. Its totient is φ = 28636876800.

The previous prime is 113320022099. The next prime is 113320022107. The reversal of 113320022100 is 1220023311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113320022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113320022107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146597314 + ... + 146598086.

It is an arithmetic number, because the mean of its divisors is an integer number (1199891952).

Almost surely, 2^113320022100 is an apocalyptic number.

113320022100 is a gapful number since it is divisible by the number (10) 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 113320022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172784441088).

113320022100 is an abundant number, since it is smaller than the sum of its proper divisors (232248860076).

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

113320022100 is a wasteful number, since it uses less digits than its factorization.

113320022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113320022100 its reverse (1220023311), we get a palindrome (114540045411).

The spelling of 113320022100 in words is "one hundred thirteen billion, three hundred twenty million, twenty-two thousand, one hundred".