13361613301 has 32 divisors (see below), whose sum is σ = 14619216096. Its totient is φ = 12165120000.

The previous prime is 13361613281. The next prime is 13361613341. The reversal of 13361613301 is 10331616331.

13361613301 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 16 ways, for example, as 707613201 + 12654000100 = 26601^2 + 112490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13361613301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13361613301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13361613341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20213911 + ... + 20214571.

It is an arithmetic number, because the mean of its divisors is an integer number (456850503).

Almost surely, 2^13361613301 is an apocalyptic number.

It is an amenable number.

13361613301 is a deficient number, since it is larger than the sum of its proper divisors (1257602795).

13361613301 is a wasteful number, since it uses less digits than its factorization.

13361613301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 13361613301 in words is "thirteen billion, three hundred sixty-one million, six hundred thirteen thousand, three hundred one".