131628033 has 12 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 87687096.

The previous prime is 131628023. The next prime is 131628037. The reversal of 131628033 is 330826131.

It is a happy number.

131628033 is a `hidden beast` number, since 1 + 3 + 1 + 628 + 0 + 33 = 666.

It is not a de Polignac number, because 131628033 - 2¹⁷ = 131496961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131627988 and 131628006.

It is not an unprimeable number, because it can be changed into a prime (131628037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9628 + ... + 18866.

It is an arithmetic number, because the mean of its divisors is an integer number (15855840).

Almost surely, 2^131628033 is an apocalyptic number.

It is an amenable number.

131628033 is a deficient number, since it is larger than the sum of its proper divisors (58642047).

131628033 is a wasteful number, since it uses less digits than its factorization.

131628033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10825 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131628033 is about 11472.9260870974. The cubic root of 131628033 is about 508.6856235615.

The spelling of 131628033 in words is "one hundred thirty-one million, six hundred twenty-eight thousand, thirty-three".