3133133137 has 2 divisors, whose sum is σ = 3133133138. Its totient is φ = 3133133136.

The previous prime is 3133133119. The next prime is 3133133149. The reversal of 3133133137 is 7313313313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1774178641 + 1358954496 = 42121^2 + 36864^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133133137 - 2¹⁹ = 3132608849 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133133537) 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, 1566566568 + 1566566569.

It is an arithmetic number, because the mean of its divisors is an integer number (1566566569).

Almost surely, 2^3133133137 is an apocalyptic number.

It is an amenable number.

3133133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133133137 is an equidigital number, since it uses as much as digits as its factorization.

3133133137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 28.

The square root of 3133133137 is about 55974.3971561999. The cubic root of 3133133137 is about 1463.2761136619.

The spelling of 3133133137 in words is "three billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred thirty-seven".