113011130100 has 144 divisors (see below), whose sum is σ = 356838160896. Its totient is φ = 27386352000.

The previous prime is 113011130093. The next prime is 113011130101. The reversal of 113011130100 is 1031110311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011130101) 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, 12426555 + ... + 12435645.

It is an arithmetic number, because the mean of its divisors is an integer number (2478042784).

Almost surely, 2^113011130100 is an apocalyptic number.

113011130100 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 113011130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178419080448).

113011130100 is an abundant number, since it is smaller than the sum of its proper divisors (243827030796).

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

113011130100 is a wasteful number, since it uses less digits than its factorization.

113011130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886 (or 12879 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 113011130100 its reverse (1031110311), we get a palindrome (114042240411).

It can be divided in two parts, 11301 and 1130100, that multiplied together give a square (12771260100 = 113010²).

The spelling of 113011130100 in words is "one hundred thirteen billion, eleven million, one hundred thirty thousand, one hundred".