3137120081 has 2 divisors, whose sum is σ = 3137120082. Its totient is φ = 3137120080.

The previous prime is 3137120059. The next prime is 3137120117. The reversal of 3137120081 is 1800217313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2935905856 + 201214225 = 54184^2 + 14185^2 .

It is a cyclic number.

It is not a de Polignac number, because 3137120081 - 2¹⁰ = 3137119057 is a prime.

It is a super-2 number, since 2×3137120081² = 19683044805226893122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3137120081.

It is not a weakly prime, because it can be changed into another prime (3137120681) 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, 1568560040 + 1568560041.

It is an arithmetic number, because the mean of its divisors is an integer number (1568560041).

Almost surely, 2^3137120081 is an apocalyptic number.

It is an amenable number.

3137120081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137120081 is an equidigital number, since it uses as much as digits as its factorization.

3137120081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 3137120081 is about 56009.9998303874. Note that the first 3 decimals coincide. The cubic root of 3137120081 is about 1463.8965285210.

Adding to 3137120081 its reverse (1800217313), we get a palindrome (4937337394).

The spelling of 3137120081 in words is "three billion, one hundred thirty-seven million, one hundred twenty thousand, eighty-one".