130101031200 has 288 divisors, whose sum is σ = 484438993920. Its totient is φ = 29708928000.

The previous prime is 130101031199. The next prime is 130101031213. The reversal of 130101031200 is 2130101031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21148125 + ... + 21154275.

It is an arithmetic number, because the mean of its divisors is an integer number (1682079840).

Almost surely, 2^130101031200 is an apocalyptic number.

130101031200 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 130101031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242219496960).

130101031200 is an abundant number, since it is smaller than the sum of its proper divisors (354337962720).

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

130101031200 is a wasteful number, since it uses less digits than its factorization.

130101031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 130101031200 its reverse (2130101031), we get a palindrome (132231132231).

The spelling of 130101031200 in words is "one hundred thirty billion, one hundred one million, thirty-one thousand, two hundred".