131020008 has 64 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 37236672.

The previous prime is 131020007. The next prime is 131020013. The reversal of 131020008 is 800020131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131020007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31473 + ... + 35391.

It is an arithmetic number, because the mean of its divisors is an integer number (5880000).

Almost surely, 2^131020008 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 131020008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

131020008 is an abundant number, since it is smaller than the sum of its proper divisors (245299992).

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

131020008 is a wasteful number, since it uses less digits than its factorization.

131020008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131020008 is about 11446.3971624263. The cubic root of 131020008 is about 507.9011629071.

Adding to 131020008 its reverse (800020131), we get a palindrome (931040139).

The spelling of 131020008 in words is "one hundred thirty-one million, twenty thousand, eight".