7137864000013 has 2 divisors, whose sum is σ = 7137864000014. Its totient is φ = 7137864000012.

The previous prime is 7137863999993. The next prime is 7137864000053. The reversal of 7137864000013 is 3100004687317.

7137864000013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (7137864000053) can be obtained adding 7137864000013 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6774083727849 + 363780272164 = 2602707^2 + 603142^2 .

It is a cyclic number.

It is not a de Polignac number, because 7137864000013 - 2⁹ = 7137863999501 is a prime.

It is a super-3 number, since 3×7137864000013³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7137864000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7137864000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3568932000006 + 3568932000007.

It is an arithmetic number, because the mean of its divisors is an integer number (3568932000007).

Almost surely, 2^{7137864000013} is an apocalyptic number.

It is an amenable number.

7137864000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7137864000013 is an equidigital number, since it uses as much as digits as its factorization.

7137864000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 7137864000013 in words is "seven trillion, one hundred thirty-seven billion, eight hundred sixty-four million, thirteen", and thus it is an aban number.