113113130331102 has 128 divisors (see below), whose sum is σ = 263555862220800. Its totient is φ = 32024998118400.

The previous prime is 113113130331077. The next prime is 113113130331109. The reversal of 113113130331102 is 201133031311311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113130331109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002035488 + ... + 1002148364.

It is an arithmetic number, because the mean of its divisors is an integer number (2059030173600).

Almost surely, 2^{113113130331102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113113130331102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777931110400).

113113130331102 is an abundant number, since it is smaller than the sum of its proper divisors (150442731889698).

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

113113130331102 is a wasteful number, since it uses less digits than its factorization.

113113130331102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129842.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 113113130331102 its reverse (201133031311311), we get a palindrome (314246161642413).

The spelling of 113113130331102 in words is "one hundred thirteen trillion, one hundred thirteen billion, one hundred thirty million, three hundred thirty-one thousand, one hundred two".