130301131200 has 336 divisors, whose sum is σ = 435010657536. Its totient is φ = 34139750400.

The previous prime is 130301131189. The next prime is 130301131223. The reversal of 130301131200 is 2131103031.

It is a super-2 number, since 2×130301131200² (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 130301131200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 147565959 + ... + 147566841.

It is an arithmetic number, because the mean of its divisors is an integer number (1294674576).

Almost surely, 2^130301131200 is an apocalyptic number.

130301131200 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 130301131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217505328768).

130301131200 is an abundant number, since it is smaller than the sum of its proper divisors (304709526336).

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

130301131200 is a wasteful number, since it uses less digits than its factorization.

130301131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1397 counting only the distinct ones).

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

Adding to 130301131200 its reverse (2131103031), we get a palindrome (132432234231).

The spelling of 130301131200 in words is "one hundred thirty billion, three hundred one million, one hundred thirty-one thousand, two hundred".