33131310137 has 2 divisors, whose sum is σ = 33131310138. Its totient is φ = 33131310136.

The previous prime is 33131310071. The next prime is 33131310143. The reversal of 33131310137 is 73101313133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32970933241 + 160376896 = 181579^2 + 12664^2 .

It is an emirp because it is prime and its reverse (73101313133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33131310137 - 2¹⁴ = 33131293753 is a prime.

It is a super-2 number, since 2×33131310137² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33131310637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565655068 + 16565655069.

It is an arithmetic number, because the mean of its divisors is an integer number (16565655069).

Almost surely, 2^33131310137 is an apocalyptic number.

It is an amenable number.

33131310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131310137 is an equidigital number, since it uses as much as digits as its factorization.

33131310137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 26.

The spelling of 33131310137 in words is "thirty-three billion, one hundred thirty-one million, three hundred ten thousand, one hundred thirty-seven".