113311320100 has 288 divisors, whose sum is σ = 283988073600. Its totient is φ = 38864179200.

The previous prime is 113311320007. The next prime is 113311320119. The reversal of 113311320100 is 1023113311.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303783514 + ... + 303783886.

It is an arithmetic number, because the mean of its divisors is an integer number (986069700).

Almost surely, 2^113311320100 is an apocalyptic number.

113311320100 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 113311320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994036800).

113311320100 is an abundant number, since it is smaller than the sum of its proper divisors (170676753500).

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

113311320100 is a wasteful number, since it uses less digits than its factorization.

113311320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113311320100 its reverse (1023113311), we get a palindrome (114334433411).

The spelling of 113311320100 in words is "one hundred thirteen billion, three hundred eleven million, three hundred twenty thousand, one hundred".