131002032 has 80 divisors (see below), whose sum is σ = 399276032. Its totient is φ = 36218880.

The previous prime is 131002009. The next prime is 131002033. The reversal of 131002032 is 230200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131001999 and 131002017.

It is not an unprimeable number, because it can be changed into a prime (131002033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4128 + ... + 16704.

Almost surely, 2^131002032 is an apocalyptic number.

131002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199638016).

131002032 is an abundant number, since it is smaller than the sum of its proper divisors (268274000).

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

131002032 is a wasteful number, since it uses less digits than its factorization.

131002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131002032 is about 11445.6119102475. The cubic root of 131002032 is about 507.8779337606.

Adding to 131002032 its reverse (230200131), we get a palindrome (361202163).

The spelling of 131002032 in words is "one hundred thirty-one million, two thousand, thirty-two".