130133021100 has 144 divisors (see below), whose sum is σ = 378533584800. Its totient is φ = 34516869120.

The previous prime is 130133021077. The next prime is 130133021111. The reversal of 130133021100 is 1120331031.

It is a super-2 number, since 2×130133021100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130133021100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68888956 + ... + 68890844.

It is an arithmetic number, because the mean of its divisors is an integer number (2628705450).

Almost surely, 2^130133021100 is an apocalyptic number.

130133021100 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 130133021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189266792400).

130133021100 is an abundant number, since it is smaller than the sum of its proper divisors (248400563700).

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

130133021100 is a wasteful number, since it uses less digits than its factorization.

130133021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130133021100 its reverse (1120331031), we get a palindrome (131253352131).

The spelling of 130133021100 in words is "one hundred thirty billion, one hundred thirty-three million, twenty-one thousand, one hundred".