130113113233000 has 128 divisors (see below), whose sum is σ = 316076432256000. Its totient is φ = 50073014611200.

The previous prime is 130113113232983. The next prime is 130113113233067. The reversal of 130113113233000 is 332311311031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280041 + ... + 16133959.

It is an arithmetic number, because the mean of its divisors is an integer number (2469347127000).

Almost surely, 2^{130113113233000} is an apocalyptic number.

130113113233000 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 130113113233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158038216128000).

130113113233000 is an abundant number, since it is smaller than the sum of its proper divisors (185963319023000).

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

130113113233000 is a wasteful number, since it uses less digits than its factorization.

130113113233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15854252 (or 15854238 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 130113113233000 its reverse (332311311031), we get a palindrome (130445424544031).

The spelling of 130113113233000 in words is "one hundred thirty trillion, one hundred thirteen billion, one hundred thirteen million, two hundred thirty-three thousand".