113133002130 has 96 divisors (see below), whose sum is σ = 307740311424. Its totient is φ = 29901747456.

The previous prime is 113133002069. The next prime is 113133002131. The reversal of 113133002130 is 31200331311.

It is a happy number.

113133002130 is a `hidden beast` number, since 1 + 1 + 313 + 300 + 21 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113133002131) 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, 68587 + ... + 480593.

It is an arithmetic number, because the mean of its divisors is an integer number (3205628244).

Almost surely, 2^113133002130 is an apocalyptic number.

113133002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113133002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153870155712).

113133002130 is an abundant number, since it is smaller than the sum of its proper divisors (194607309294).

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

113133002130 is a wasteful number, since it uses less digits than its factorization.

113133002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412142 (or 412130 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113133002130 its reverse (31200331311), we get a palindrome (144333333441).

The spelling of 113133002130 in words is "one hundred thirteen billion, one hundred thirty-three million, two thousand, one hundred thirty".