3133131013 has 2 divisors, whose sum is σ = 3133131014. Its totient is φ = 3133131012.

The previous prime is 3133131011. The next prime is 3133131041. The reversal of 3133131013 is 3101313313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2480737249 + 652393764 = 49807^2 + 25542^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133131013 - 2¹ = 3133131011 is a prime.

Together with 3133131011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133131011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566565506 + 1566565507.

It is an arithmetic number, because the mean of its divisors is an integer number (1566565507).

Almost surely, 2^3133131013 is an apocalyptic number.

It is an amenable number.

3133131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133131013 is an equidigital number, since it uses as much as digits as its factorization.

3133131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 3133131013 is about 55974.3781832367. The cubic root of 3133131013 is about 1463.2757830025.

Adding to 3133131013 its reverse (3101313313), we get a palindrome (6234444326).

The spelling of 3133131013 in words is "three billion, one hundred thirty-three million, one hundred thirty-one thousand, thirteen".