130110400 has 84 divisors (see below), whose sum is σ = 365920528. Its totient is φ = 44605440.

The previous prime is 130110391. The next prime is 130110413. The reversal of 130110400 is 4011031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5392 + ... + 17008.

Almost surely, 2^130110400 is an apocalyptic number.

130110400 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 130110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182960264).

130110400 is an abundant number, since it is smaller than the sum of its proper divisors (235810128).

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

130110400 is a wasteful number, since it uses less digits than its factorization.

130110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 130110400 is about 11406.5945838361. The cubic root of 130110400 is about 506.7230623590.

Adding to 130110400 its reverse (4011031), we get a palindrome (134121431).

The spelling of 130110400 in words is "one hundred thirty million, one hundred ten thousand, four hundred".