13402210421133 has 12 divisors (see below), whose sum is σ = 19358940281148. Its totient is φ = 8934718380480.

The previous prime is 13402210421077. The next prime is 13402210421177. The reversal of 13402210421133 is 33112401220431.

13402210421133 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 221 + 0 + 421 + 13 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10501313368329 + 2900897052804 = 3240573^2 + 1703202^2 .

It is not a de Polignac number, because 13402210421133 - 2¹⁷ = 13402210290061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13402210421097 and 13402210421106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402210420133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6415560 + ... + 8244017.

It is an arithmetic number, because the mean of its divisors is an integer number (1613245023429).

Almost surely, 2^{13402210421133} is an apocalyptic number.

It is an amenable number.

13402210421133 is a deficient number, since it is larger than the sum of its proper divisors (5956729860015).

13402210421133 is a wasteful number, since it uses less digits than its factorization.

13402210421133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761164 (or 14761161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13402210421133 its reverse (33112401220431), we get a palindrome (46514611641564).

The spelling of 13402210421133 in words is "thirteen trillion, four hundred two billion, two hundred ten million, four hundred twenty-one thousand, one hundred thirty-three".