130312000 has 224 divisors, whose sum is σ = 399409920. Its totient is φ = 41011200.

The previous prime is 130311991. The next prime is 130312019. The reversal of 130312000 is 213031.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 727911 + ... + 728089.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^130312000 is an apocalyptic number.

130312000 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 130312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

130312000 is an abundant number, since it is smaller than the sum of its proper divisors (269097920).

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

130312000 is a wasteful number, since it uses less digits than its factorization.

130312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130312000 is about 11415.4281566659. The cubic root of 130312000 is about 506.9846418922.

Adding to 130312000 its reverse (213031), we get a palindrome (130525031).

The spelling of 130312000 in words is "one hundred thirty million, three hundred twelve thousand".