131315008 has 84 divisors (see below), whose sum is σ = 296200576. Its totient is φ = 57657600.

The previous prime is 131315003. The next prime is 131315029. The reversal of 131315008 is 800513131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 131315008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131315003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239791 + ... + 240337.

Almost surely, 2^131315008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148100288).

131315008 is an abundant number, since it is smaller than the sum of its proper divisors (164885568).

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

131315008 is a wasteful number, since it uses less digits than its factorization.

131315008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 131315008 is about 11459.2760678849. The cubic root of 131315008 is about 508.2820679167.

Adding to 131315008 its reverse (800513131), we get a palindrome (931828139).

The spelling of 131315008 in words is "one hundred thirty-one million, three hundred fifteen thousand, eight".