131300610 has 128 divisors (see below), whose sum is σ = 376233984. Its totient is φ = 28704000.

The previous prime is 131300569. The next prime is 131300627. The reversal of 131300610 is 16003131.

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 131300610.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522985 + ... + 523235.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 2^131300610 is an apocalyptic number.

131300610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131300610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116992).

131300610 is an abundant number, since it is smaller than the sum of its proper divisors (244933374).

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

131300610 is a wasteful number, since it uses less digits than its factorization.

131300610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131300610 is about 11458.6478259871. The cubic root of 131300610 is about 508.2634904192.

Adding to 131300610 its reverse (16003131), we get a palindrome (147303741).

The spelling of 131300610 in words is "one hundred thirty-one million, three hundred thousand, six hundred ten".