113130211032 has 192 divisors, whose sum is σ = 336801628800. Its totient is φ = 35452961280.

The previous prime is 113130211031. The next prime is 113130211043. The reversal of 113130211032 is 230112031311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113130210996 and 113130211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130211031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51917319 + ... + 51919497.

It is an arithmetic number, because the mean of its divisors is an integer number (1754175150).

Almost surely, 2^113130211032 is an apocalyptic number.

113130211032 is a gapful number since it is divisible by the number (12) 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 113130211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168400814400).

113130211032 is an abundant number, since it is smaller than the sum of its proper divisors (223671417768).

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

113130211032 is a wasteful number, since it uses less digits than its factorization.

113130211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113130211032 its reverse (230112031311), we get a palindrome (343242242343).

The spelling of 113130211032 in words is "one hundred thirteen billion, one hundred thirty million, two hundred eleven thousand, thirty-two".