10033031137 has 2 divisors, whose sum is σ = 10033031138. Its totient is φ = 10033031136.

The previous prime is 10033031101. The next prime is 10033031153. The reversal of 10033031137 is 73113033001.

10033031137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9111847936 + 921183201 = 95456^2 + 30351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033031137 - 2⁷ = 10033031009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033037137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016515568 + 5016515569.

It is an arithmetic number, because the mean of its divisors is an integer number (5016515569).

Almost surely, 2^10033031137 is an apocalyptic number.

It is an amenable number.

10033031137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033031137 is an equidigital number, since it uses as much as digits as its factorization.

10033031137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

Adding to 10033031137 its reverse (73113033001), we get a palindrome (83146064138).

The spelling of 10033031137 in words is "ten billion, thirty-three million, thirty-one thousand, one hundred thirty-seven".