13061828993 has 2 divisors, whose sum is σ = 13061828994. Its totient is φ = 13061828992.

The previous prime is 13061828921. The next prime is 13061829031. The reversal of 13061828993 is 39982816031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8819651569 + 4242177424 = 93913^2 + 65132^2 .

It is an emirp because it is prime and its reverse (39982816031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13061828993 - 2¹⁸ = 13061566849 is a prime.

It is a super-2 number, since 2×13061828993² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13061828903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6530914496 + 6530914497.

It is an arithmetic number, because the mean of its divisors is an integer number (6530914497).

Almost surely, 2^13061828993 is an apocalyptic number.

It is an amenable number.

13061828993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13061828993 is an equidigital number, since it uses as much as digits as its factorization.

13061828993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 13061828993 in words is "thirteen billion, sixty-one million, eight hundred twenty-eight thousand, nine hundred ninety-three".