130201131312 has 240 divisors, whose sum is σ = 422398679040. Its totient is φ = 36671040000.

The previous prime is 130201131301. The next prime is 130201131317. The reversal of 130201131312 is 213131102031.

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 (130201131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24329437 + ... + 24334787.

It is an arithmetic number, because the mean of its divisors is an integer number (1759994496).

Almost surely, 2^130201131312 is an apocalyptic number.

130201131312 is a gapful number since it is divisible by the number (12) 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 130201131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211199339520).

130201131312 is an abundant number, since it is smaller than the sum of its proper divisors (292197547728).

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

130201131312 is a wasteful number, since it uses less digits than its factorization.

130201131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130201131312 its reverse (213131102031), we get a palindrome (343332233343).

The spelling of 130201131312 in words is "one hundred thirty billion, two hundred one million, one hundred thirty-one thousand, three hundred twelve".