131010432 has 256 divisors, whose sum is σ = 437114880. Its totient is φ = 33914880.

The previous prime is 131010427. The next prime is 131010443. The reversal of 131010432 is 234010131.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147682 + ... + 2147742.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^131010432 is an apocalyptic number.

131010432 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 131010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

131010432 is an abundant number, since it is smaller than the sum of its proper divisors (306104448).

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

131010432 is a wasteful number, since it uses less digits than its factorization.

131010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131010432 is about 11445.9788572232. The cubic root of 131010432 is about 507.8887887664. Note that the first 3 decimals are identical.

Adding to 131010432 its reverse (234010131), we get a palindrome (365020563).

The spelling of 131010432 in words is "one hundred thirty-one million, ten thousand, four hundred thirty-two".