13013124401205 has 20 divisors (see below), whose sum is σ = 23327230408812. Its totient is φ = 6940333013760.

The previous prime is 13013124401131. The next prime is 13013124401317. The reversal of 13013124401205 is 50210442131031.

13013124401205 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 12 + 440 + 1 + 205 = 666.

13013124401205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5562795839364 + 7450328561841 = 2358558^2 + 2729529^2 .

It is not a de Polignac number, because 13013124401205 - 2¹³ = 13013124393013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16065585276 + ... + 16065586085.

Almost surely, 2^{13013124401205} is an apocalyptic number.

13013124401205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13013124401205 is a deficient number, since it is larger than the sum of its proper divisors (10314106007607).

13013124401205 is an equidigital number, since it uses as much as digits as its factorization.

13013124401205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32131171378 (or 32131171369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13013124401205 its reverse (50210442131031), we get a palindrome (63223566532236).

The spelling of 13013124401205 in words is "thirteen trillion, thirteen billion, one hundred twenty-four million, four hundred one thousand, two hundred five".