130311322400 has 72 divisors (see below), whose sum is σ = 363568605120. Its totient is φ = 44678165760.

The previous prime is 130311322373. The next prime is 130311322409. The reversal of 130311322400 is 4223113031.

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

It is not an unprimeable number, because it can be changed into a prime (130311322409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11629340 + ... + 11640539.

It is an arithmetic number, because the mean of its divisors is an integer number (5049563960).

Almost surely, 2^130311322400 is an apocalyptic number.

130311322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130311322400 is an abundant number, since it is smaller than the sum of its proper divisors (233257282720).

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

130311322400 is a wasteful number, since it uses less digits than its factorization.

130311322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23269906 (or 23269893 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130311322400 its reverse (4223113031), we get a palindrome (134534435431).

The spelling of 130311322400 in words is "one hundred thirty billion, three hundred eleven million, three hundred twenty-two thousand, four hundred".