33102131137 has 2 divisors, whose sum is σ = 33102131138. Its totient is φ = 33102131136.

The previous prime is 33102131119. The next prime is 33102131147. The reversal of 33102131137 is 73113120133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17668789776 + 15433341361 = 132924^2 + 124231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33102131137 is a prime.

It is a super-2 number, since 2×33102131137² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33102131147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16551065568 + 16551065569.

It is an arithmetic number, because the mean of its divisors is an integer number (16551065569).

Almost surely, 2^33102131137 is an apocalyptic number.

It is an amenable number.

33102131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33102131137 is an equidigital number, since it uses as much as digits as its factorization.

33102131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 33102131137 in words is "thirty-three billion, one hundred two million, one hundred thirty-one thousand, one hundred thirty-seven".