13531142993 has 2 divisors, whose sum is σ = 13531142994. Its totient is φ = 13531142992.

The previous prime is 13531142987. The next prime is 13531143001. The reversal of 13531142993 is 39924113531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7068269329 + 6462873664 = 84073^2 + 80392^2 .

It is an emirp because it is prime and its reverse (39924113531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13531142993 - 2¹⁰ = 13531141969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13531142993.

It is not a weakly prime, because it can be changed into another prime (13531142953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6765571496 + 6765571497.

It is an arithmetic number, because the mean of its divisors is an integer number (6765571497).

Almost surely, 2^13531142993 is an apocalyptic number.

It is an amenable number.

13531142993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531142993 is an equidigital number, since it uses as much as digits as its factorization.

13531142993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 87480, while the sum is 41.

The spelling of 13531142993 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-two thousand, nine hundred ninety-three".