131827033 has 8 divisors (see below), whose sum is σ = 142103808. Its totient is φ = 121569744.

The previous prime is 131827001. The next prime is 131827079. The reversal of 131827033 is 330728131.

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

It is a cyclic number.

It is not a de Polignac number, because 131827033 - 2⁵ = 131827001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131826992 and 131827010.

It is not an unprimeable number, because it can be changed into a prime (131827733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11160 + ... + 19702.

It is an arithmetic number, because the mean of its divisors is an integer number (17762976).

Almost surely, 2^131827033 is an apocalyptic number.

131827033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131827033 is a deficient number, since it is larger than the sum of its proper divisors (10276775).

131827033 is a wasteful number, since it uses less digits than its factorization.

131827033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 131827033 is about 11481.5954030788. The cubic root of 131827033 is about 508.9418442311.

The spelling of 131827033 in words is "one hundred thirty-one million, eight hundred twenty-seven thousand, thirty-three".