131502033 has 36 divisors (see below), whose sum is σ = 210492828. Its totient is φ = 78641280.

The previous prime is 131502029. The next prime is 131502067. The reversal of 131502033 is 330205131.

131502033 is a `hidden beast` number, since 131 + 502 + 0 + 33 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2634129 + 128867904 = 1623^2 + 11352^2 .

It is not a de Polignac number, because 131502033 - 2² = 131502029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131501997 and 131502015.

It is not an unprimeable number, because it can be changed into a prime (131502013) 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 35 ways as a sum of consecutive naturals, for example, 159763 + ... + 160583.

It is an arithmetic number, because the mean of its divisors is an integer number (5847023).

Almost surely, 2^131502033 is an apocalyptic number.

131502033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131502033 is a deficient number, since it is larger than the sum of its proper divisors (78990795).

131502033 is a wasteful number, since it uses less digits than its factorization.

131502033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131502033 is about 11467.4335838495. The cubic root of 131502033 is about 508.5232598428.

Adding to 131502033 its reverse (330205131), we get a palindrome (461707164).

The spelling of 131502033 in words is "one hundred thirty-one million, five hundred two thousand, thirty-three".