131313000 has 384 divisors, whose sum is σ = 520715520. Its totient is φ = 26956800.

The previous prime is 131312989. The next prime is 131313001. The reversal of 131313000 is 313131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131313001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3548982 + ... + 3549018.

It is an arithmetic number, because the mean of its divisors is an integer number (1356030).

Almost surely, 2^131313000 is an apocalyptic number.

131313000 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 131313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260357760).

131313000 is an abundant number, since it is smaller than the sum of its proper divisors (389402520).

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

131313000 is a wasteful number, since it uses less digits than its factorization.

131313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131313000 is about 11459.1884529403. The cubic root of 131313000 is about 508.2794771096.

Adding to 131313000 its reverse (313131), we get a palindrome (131626131).

The spelling of 131313000 in words is "one hundred thirty-one million, three hundred thirteen thousand".