130333201000 has 128 divisors (see below), whose sum is σ = 311471840160. Its totient is φ = 51028224000.

The previous prime is 130333200941. The next prime is 130333201043. The reversal of 130333201000 is 102333031.

It can be written as a sum of positive squares in 16 ways, for example, as 36747844 + 130296453156 = 6062^2 + 360966^2 .

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, 24218310 + ... + 24223690.

Almost surely, 2^130333201000 is an apocalyptic number.

130333201000 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 130333201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155735920080).

130333201000 is an abundant number, since it is smaller than the sum of its proper divisors (181138639160).

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

130333201000 is a wasteful number, since it uses less digits than its factorization.

130333201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 130333201000 its reverse (102333031), we get a palindrome (130435534031).

The spelling of 130333201000 in words is "one hundred thirty billion, three hundred thirty-three million, two hundred one thousand".