10033131137 has 2 divisors, whose sum is σ = 10033131138. Its totient is φ = 10033131136.

The previous prime is 10033131113. The next prime is 10033131151. The reversal of 10033131137 is 73113133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5565010801 + 4468120336 = 74599^2 + 66844^2 .

It is an emirp because it is prime and its reverse (73113133001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10033131137 - 2²⁰ = 10032082561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033101137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016565568 + 5016565569.

It is an arithmetic number, because the mean of its divisors is an integer number (5016565569).

Almost surely, 2^10033131137 is an apocalyptic number.

It is an amenable number.

10033131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033131137 is an equidigital number, since it uses as much as digits as its factorization.

10033131137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 23.

Adding to 10033131137 its reverse (73113133001), we get a palindrome (83146264138).

The spelling of 10033131137 in words is "ten billion, thirty-three million, one hundred thirty-one thousand, one hundred thirty-seven".