37306020013 has 2 divisors, whose sum is σ = 37306020014. Its totient is φ = 37306020012.

The previous prime is 37306020001. The next prime is 37306020047. The reversal of 37306020013 is 31002060373.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37228544809 + 77475204 = 192947^2 + 8802^2 .

It is a cyclic number.

It is not a de Polignac number, because 37306020013 - 2⁹ = 37306019501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37306020013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37306021013) 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, 18653010006 + 18653010007.

It is an arithmetic number, because the mean of its divisors is an integer number (18653010007).

Almost surely, 2^37306020013 is an apocalyptic number.

It is an amenable number.

37306020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37306020013 is an equidigital number, since it uses as much as digits as its factorization.

37306020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 37306020013 its reverse (31002060373), we get a palindrome (68308080386).

The spelling of 37306020013 in words is "thirty-seven billion, three hundred six million, twenty thousand, thirteen".