113111033100 has 144 divisors (see below), whose sum is σ = 355677131040. Its totient is φ = 27587174400.

The previous prime is 113111033099. The next prime is 113111033107. The reversal of 113111033100 is 1330111311.

It is a super-2 number, since 2×113111033100² (a number of 23 digits) contains 22 as substring.

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 113111033100.

It is not an unprimeable number, because it can be changed into a prime (113111033107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292060 + ... + 558140.

Almost surely, 2^113111033100 is an apocalyptic number.

113111033100 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 113111033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177838565520).

113111033100 is an abundant number, since it is smaller than the sum of its proper divisors (242566097940).

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

113111033100 is a wasteful number, since it uses less digits than its factorization.

113111033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266220 (or 266213 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 113111033100 its reverse (1330111311), we get a palindrome (114441144411).

The spelling of 113111033100 in words is "one hundred thirteen billion, one hundred eleven million, thirty-three thousand, one hundred".