130131001220000 has 360 divisors, whose sum is σ = 352210459778100. Its totient is φ = 47277457920000.

The previous prime is 130131001219997. The next prime is 130131001220041. The reversal of 130131001220000 is 22100131031.

It can be written as a sum of positive squares in 10 ways, for example, as 41687735212816 + 88443266007184 = 6456604^2 + 9404428^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2732156186 + ... + 2732203814.

Almost surely, 2^{130131001220000} is an apocalyptic number.

130131001220000 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 130131001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176105229889050).

130131001220000 is an abundant number, since it is smaller than the sum of its proper divisors (222079458558100).

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

130131001220000 is a wasteful number, since it uses less digits than its factorization.

130131001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48810 (or 48776 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 130131001220000 its reverse (22100131031), we get a palindrome (130153101351031).

The spelling of 130131001220000 in words is "one hundred thirty trillion, one hundred thirty-one billion, one million, two hundred twenty thousand".