131333033 has 8 divisors (see below), whose sum is σ = 141645000. Its totient is φ = 121051008.

The previous prime is 131333029. The next prime is 131333039. The reversal of 131333033 is 330333131.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 129663769 = 1292^2 + 11387^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131333033 - 2² = 131333029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131332996 and 131333014.

It is not an unprimeable number, because it can be changed into a prime (131333039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2093 + ... + 16341.

It is an arithmetic number, because the mean of its divisors is an integer number (17705625).

Almost surely, 2^131333033 is an apocalyptic number.

131333033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131333033 is a deficient number, since it is larger than the sum of its proper divisors (10311967).

131333033 is a wasteful number, since it uses less digits than its factorization.

131333033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14971.

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 131333033 is about 11460.0625216445. The cubic root of 131333033 is about 508.3053233573.

Adding to 131333033 its reverse (330333131), we get a palindrome (461666164).

The spelling of 131333033 in words is "one hundred thirty-one million, three hundred thirty-three thousand, thirty-three".