131380830 has 96 divisors (see below), whose sum is σ = 407407104. Its totient is φ = 28721088.

The previous prime is 131380829. The next prime is 131380859. The reversal of 131380830 is 38083131.

It is a junction number, because it is equal to n+sod(n) for n = 131380794 and 131380803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9957 + ... + 19023.

It is an arithmetic number, because the mean of its divisors is an integer number (4243824).

Almost surely, 2^131380830 is an apocalyptic number.

131380830 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 131380830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203703552).

131380830 is an abundant number, since it is smaller than the sum of its proper divisors (276026274).

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

131380830 is a wasteful number, since it uses less digits than its factorization.

131380830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131380830 is about 11462.1477045098. The cubic root of 131380830 is about 508.3669796476.

The spelling of 131380830 in words is "one hundred thirty-one million, three hundred eighty thousand, eight hundred thirty".