130311320123200 has 168 divisors, whose sum is σ = 338496182848800. Its totient is φ = 49238819112960.

The previous prime is 130311320123177. The next prime is 130311320123329. The reversal of 130311320123200 is 2321023113031.

It is a super-2 number, since 2×130311320123200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4372206 + ... + 16725394.

Almost surely, 2^{130311320123200} is an apocalyptic number.

130311320123200 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 130311320123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169248091424400).

130311320123200 is an abundant number, since it is smaller than the sum of its proper divisors (208184862725600).

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

130311320123200 is a wasteful number, since it uses less digits than its factorization.

130311320123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12353577 (or 12353562 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 130311320123200 its reverse (2321023113031), we get a palindrome (132632343236231).

The spelling of 130311320123200 in words is "one hundred thirty trillion, three hundred eleven billion, three hundred twenty million, one hundred twenty-three thousand, two hundred".