131533125 has 80 divisors (see below), whose sum is σ = 236174400. Its totient is φ = 64960000.

The previous prime is 131533123. The next prime is 131533133. The reversal of 131533125 is 521335131.

It is not a de Polignac number, because 131533125 - 2¹ = 131533123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131533095 and 131533104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131533123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2229346 + ... + 2229404.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 2^131533125 is an apocalyptic number.

131533125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131533125 is a deficient number, since it is larger than the sum of its proper divisors (104641275).

131533125 is an equidigital number, since it uses as much as digits as its factorization.

131533125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 131533125 is about 11468.7891688704. The cubic root of 131533125 is about 508.5633346586.

Adding to 131533125 its reverse (521335131), we get a palindrome (652868256).

The spelling of 131533125 in words is "one hundred thirty-one million, five hundred thirty-three thousand, one hundred twenty-five".