131033010013 has 2 divisors, whose sum is σ = 131033010014. Its totient is φ = 131033010012.

The previous prime is 131033009983. The next prime is 131033010019. The reversal of 131033010013 is 310010330131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129868699129 + 1164310884 = 360373^2 + 34122^2 .

It is an emirp because it is prime and its reverse (310010330131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131033010013 - 2¹³ = 131033001821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131033010019) 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, 65516505006 + 65516505007.

It is an arithmetic number, because the mean of its divisors is an integer number (65516505007).

Almost surely, 2^131033010013 is an apocalyptic number.

It is an amenable number.

131033010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131033010013 is an equidigital number, since it uses as much as digits as its factorization.

131033010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131033010013 its reverse (310010330131), we get a palindrome (441043340144).

The spelling of 131033010013 in words is "one hundred thirty-one billion, thirty-three million, ten thousand, thirteen".