115313312000 has 432 divisors, whose sum is σ = 314328797328. Its totient is φ = 42113433600.

The previous prime is 115313311973. The next prime is 115313312021. The reversal of 115313312000 is 213313511.

It can be written as a sum of positive squares in 24 ways, for example, as 80347303936 + 34966008064 = 283456^2 + 186992^2 .

It is a super-3 number, since 3×115313312000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 342175832 + ... + 342176168.

Almost surely, 2^115313312000 is an apocalyptic number.

115313312000 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 115313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157164398664).

115313312000 is an abundant number, since it is smaller than the sum of its proper divisors (199015485328).

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

115313312000 is an equidigital number, since it uses as much as digits as its factorization.

115313312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 115313312000 its reverse (213313511), we get a palindrome (115526625511).

The spelling of 115313312000 in words is "one hundred fifteen billion, three hundred thirteen million, three hundred twelve thousand".