131026032 has 80 divisors (see below), whose sum is σ = 392474880. Its totient is φ = 41773248.

The previous prime is 131025977. The next prime is 131026087. The reversal of 131026032 is 230620131.

It is an interprime number because it is at equal distance from previous prime (131025977) and next prime (131026087).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131025996 and 131026014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3343 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (4905936).

Almost surely, 2^131026032 is an apocalyptic number.

131026032 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 131026032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196237440).

131026032 is an abundant number, since it is smaller than the sum of its proper divisors (261448848).

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

131026032 is a wasteful number, since it uses less digits than its factorization.

131026032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13215 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131026032 is about 11446.6602989693. The cubic root of 131026032 is about 507.9089468320.

Adding to 131026032 its reverse (230620131), we get a palindrome (361646163).

The spelling of 131026032 in words is "one hundred thirty-one million, twenty-six thousand, thirty-two".