130201808100 has 216 divisors, whose sum is σ = 466200786240. Its totient is φ = 27471075840.

The previous prime is 130201808063. The next prime is 130201808101. The reversal of 130201808100 is 1808102031.

It is a super-2 number, since 2×130201808100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130201808101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171466 + ... + 538334.

Almost surely, 2^130201808100 is an apocalyptic number.

130201808100 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 130201808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233100393120).

130201808100 is an abundant number, since it is smaller than the sum of its proper divisors (335998978140).

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

130201808100 is a wasteful number, since it uses less digits than its factorization.

130201808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366919 (or 366899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 130201808100 in words is "one hundred thirty billion, two hundred one million, eight hundred eight thousand, one hundred".