13413535402005 has 12 divisors (see below), whose sum is σ = 23250128030220. Its totient is φ = 7153885547712.

The previous prime is 13413535401991. The next prime is 13413535402027. The reversal of 13413535402005 is 50020453531431.

13413535402005 is a `hidden beast` number, since 1 + 3 + 41 + 3 + 53 + 540 + 20 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4882234938084 + 8531300463921 = 2209578^2 + 2920839^2 .

It is not a de Polignac number, because 13413535402005 - 2¹⁶ = 13413535336469 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149039282200 + ... + 149039282289.

It is an arithmetic number, because the mean of its divisors is an integer number (1937510669185).

Almost surely, 2^{13413535402005} is an apocalyptic number.

13413535402005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13413535402005 is a deficient number, since it is larger than the sum of its proper divisors (9836592628215).

13413535402005 is a wasteful number, since it uses less digits than its factorization.

13413535402005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298078564500 (or 298078564497 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 13413535402005 its reverse (50020453531431), we get a palindrome (63433988933436).

The spelling of 13413535402005 in words is "thirteen trillion, four hundred thirteen billion, five hundred thirty-five million, four hundred two thousand, five".