130331213012000 has 768 divisors, whose sum is σ = 430525869935616. Its totient is φ = 37447741440000.

The previous prime is 130331213011981. The next prime is 130331213012041. The reversal of 130331213012000 is 210312133031.

It is a super-2 number, since 2×130331213012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3047022614 + ... + 3047065386.

It is an arithmetic number, because the mean of its divisors is an integer number (560580559812).

Almost surely, 2^{130331213012000} is an apocalyptic number.

130331213012000 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 130331213012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215262934967808).

130331213012000 is an abundant number, since it is smaller than the sum of its proper divisors (300194656923616).

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

130331213012000 is a wasteful number, since it uses less digits than its factorization.

130331213012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43590 (or 43572 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130331213012000 its reverse (210312133031), we get a palindrome (130541525145031).

The spelling of 130331213012000 in words is "one hundred thirty trillion, three hundred thirty-one billion, two hundred thirteen million, twelve thousand".