130133252000 has 192 divisors, whose sum is σ = 326474916768. Its totient is φ = 50964480000.

The previous prime is 130133251999. The next prime is 130133252023. The reversal of 130133252000 is 252331031.

It can be written as a sum of positive squares in 16 ways, for example, as 138391696 + 129994860304 = 11764^2 + 360548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58802894 + ... + 58805106.

Almost surely, 2^130133252000 is an apocalyptic number.

130133252000 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 130133252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163237458384).

130133252000 is an abundant number, since it is smaller than the sum of its proper divisors (196341664768).

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

130133252000 is a wasteful number, since it uses less digits than its factorization.

130133252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 130133252000 its reverse (252331031), we get a palindrome (130385583031).

The spelling of 130133252000 in words is "one hundred thirty billion, one hundred thirty-three million, two hundred fifty-two thousand".