130313000400 has 240 divisors, whose sum is σ = 458667310080. Its totient is φ = 31363315200.

The previous prime is 130313000369. The next prime is 130313000407. The reversal of 130313000400 is 4000313031.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130313000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130313000407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799289 + ... + 1870311.

It is an arithmetic number, because the mean of its divisors is an integer number (1911113792).

Almost surely, 2^130313000400 is an apocalyptic number.

130313000400 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 130313000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229333655040).

130313000400 is an abundant number, since it is smaller than the sum of its proper divisors (328354309680).

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

130313000400 is a wasteful number, since it uses less digits than its factorization.

130313000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71194 (or 71183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130313000400 its reverse (4000313031), we get a palindrome (134313313431).

The spelling of 130313000400 in words is "one hundred thirty billion, three hundred thirteen million, four hundred", and thus it is an aban number.