130131421200 has 360 divisors, whose sum is σ = 498194854560. Its totient is φ = 31191705600.

The previous prime is 130131421181. The next prime is 130131421201. The reversal of 130131421200 is 2124131031.

130131421200 is a `hidden beast` number, since 1 + 30 + 13 + 1 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130131421201) 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, 3505939 + ... + 3542861.

It is an arithmetic number, because the mean of its divisors is an integer number (1383874596).

Almost surely, 2^130131421200 is an apocalyptic number.

130131421200 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 130131421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249097427280).

130131421200 is an abundant number, since it is smaller than the sum of its proper divisors (368063433360).

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

130131421200 is a wasteful number, since it uses less digits than its factorization.

130131421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37047 (or 37033 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130131421200 its reverse (2124131031), we get a palindrome (132255552231).

The spelling of 130131421200 in words is "one hundred thirty billion, one hundred thirty-one million, four hundred twenty-one thousand, two hundred".