131313300 has 144 divisors (see below), whose sum is σ = 396641280. Its totient is φ = 33517440.

The previous prime is 131313263. The next prime is 131313317. The reversal of 131313300 is 3313131.

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 131313300.

It is a congruent number.

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, 944631 + ... + 944769.

Almost surely, 2^131313300 is an apocalyptic number.

131313300 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 131313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198320640).

131313300 is an abundant number, since it is smaller than the sum of its proper divisors (265327980).

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

131313300 is a wasteful number, since it uses less digits than its factorization.

131313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 131313300 is about 11459.2015428650. The cubic root of 131313300 is about 508.2798641840.

Adding to 131313300 its reverse (3313131), we get a palindrome (134626431).

The spelling of 131313300 in words is "one hundred thirty-one million, three hundred thirteen thousand, three hundred".