13410400193 has 2 divisors, whose sum is σ = 13410400194. Its totient is φ = 13410400192.

The previous prime is 13410400141. The next prime is 13410400219. The reversal of 13410400193 is 39100401431.

It is an a-pointer prime, because the next prime (13410400219) can be obtained adding 13410400193 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10521015184 + 2889385009 = 102572^2 + 53753^2 .

It is a cyclic number.

It is not a de Polignac number, because 13410400193 - 2¹⁰ = 13410399169 is a prime.

It is not a weakly prime, because it can be changed into another prime (13410400093) 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, 6705200096 + 6705200097.

It is an arithmetic number, because the mean of its divisors is an integer number (6705200097).

Almost surely, 2^13410400193 is an apocalyptic number.

It is an amenable number.

13410400193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13410400193 is an equidigital number, since it uses as much as digits as its factorization.

13410400193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 13410400193 in words is "thirteen billion, four hundred ten million, four hundred thousand, one hundred ninety-three".