131529079830 has 32 divisors (see below), whose sum is σ = 323010952704. Its totient is φ = 34258736736.

The previous prime is 131529079823. The next prime is 131529079837. The reversal of 131529079830 is 38970925131.

It is an interprime number because it is at equal distance from previous prime (131529079823) and next prime (131529079837).

It is a super-3 number, since 3×131529079830³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 131529079830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131529079837) 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, 50978974 + ... + 50981553.

It is an arithmetic number, because the mean of its divisors is an integer number (10094092272).

Almost surely, 2^131529079830 is an apocalyptic number.

131529079830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131529079830 is an abundant number, since it is smaller than the sum of its proper divisors (191481872874).

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

131529079830 is a wasteful number, since it uses less digits than its factorization.

131529079830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101960580.

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 131529079830 in words is "one hundred thirty-one billion, five hundred twenty-nine million, seventy-nine thousand, eight hundred thirty".