131124033 has 6 divisors (see below), whose sum is σ = 189401394. Its totient is φ = 87416016.

The previous prime is 131124011. The next prime is 131124061. The reversal of 131124033 is 330421131.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 28547649 = 10128^2 + 5343^2 .

It is not a de Polignac number, because 131124033 - 2⁶ = 131123969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131123997 and 131124015.

It is not an unprimeable number, because it can be changed into a prime (131124533) 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 5 ways as a sum of consecutive naturals, for example, 7284660 + ... + 7284677.

It is an arithmetic number, because the mean of its divisors is an integer number (31566899).

Almost surely, 2^131124033 is an apocalyptic number.

It is an amenable number.

131124033 is a deficient number, since it is larger than the sum of its proper divisors (58277361).

131124033 is a wasteful number, since it uses less digits than its factorization.

131124033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569343 (or 14569340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131124033 is about 11450.9402670698. The cubic root of 131124033 is about 508.0355455422.

Adding to 131124033 its reverse (330421131), we get a palindrome (461545164).

The spelling of 131124033 in words is "one hundred thirty-one million, one hundred twenty-four thousand, thirty-three".