130316331600 has 960 divisors, whose sum is σ = 578267988480. Its totient is φ = 27478517760.

The previous prime is 130316331559. The next prime is 130316331637. The reversal of 130316331600 is 6133613031.

130316331600 is a `hidden beast` number, since 1 + 30 + 316 + 3 + 316 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79605982 + ... + 79607618.

It is an arithmetic number, because the mean of its divisors is an integer number (602362488).

Almost surely, 2^130316331600 is an apocalyptic number.

130316331600 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 130316331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289133994240).

130316331600 is an abundant number, since it is smaller than the sum of its proper divisors (447951656880).

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

130316331600 is a wasteful number, since it uses less digits than its factorization.

130316331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130316331600 its reverse (6133613031), we get a palindrome (136449944631).

The spelling of 130316331600 in words is "one hundred thirty billion, three hundred sixteen million, three hundred thirty-one thousand, six hundred".