130310311220400 has 240 divisors, whose sum is σ = 441009105753600. Its totient is φ = 32837305697280.

The previous prime is 130310311220387. The next prime is 130310311220417. The reversal of 130310311220400 is 4022113013031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×130310311220400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38200030 + ... + 41471229.

It is an arithmetic number, because the mean of its divisors is an integer number (1837537940640).

Almost surely, 2^{130310311220400} is an apocalyptic number.

130310311220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130310311220400 is an abundant number, since it is smaller than the sum of its proper divisors (310698794533200).

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

130310311220400 is a wasteful number, since it uses less digits than its factorization.

130310311220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79671356 (or 79671345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130310311220400 its reverse (4022113013031), we get a palindrome (134332424233431).

The spelling of 130310311220400 in words is "one hundred thirty trillion, three hundred ten billion, three hundred eleven million, two hundred twenty thousand, four hundred".