131034033 has 12 divisors (see below), whose sum is σ = 203830900. Its totient is φ = 80636256.

The previous prime is 131033999. The next prime is 131034041. The reversal of 131034033 is 330430131.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 70006689 = 7812^2 + 8367^2 .

It is not a de Polignac number, because 131034033 - 2²² = 126839729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131033997 and 131034015.

It is not an unprimeable number, because it can be changed into a prime (131034053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559858 + ... + 560091.

Almost surely, 2^131034033 is an apocalyptic number.

131034033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131034033 is a deficient number, since it is larger than the sum of its proper divisors (72796867).

131034033 is a wasteful number, since it uses less digits than its factorization.

131034033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119968 (or 1119965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131034033 is about 11447.0097842188. The cubic root of 131034033 is about 507.9192849730.

Adding to 131034033 its reverse (330430131), we get a palindrome (461464164).

The spelling of 131034033 in words is "one hundred thirty-one million, thirty-four thousand, thirty-three".