13310212212133 has 8 divisors (see below), whose sum is σ = 13371315563736. Its totient is φ = 13249142860800.

The previous prime is 13310212212119. The next prime is 13310212212161. The reversal of 13310212212133 is 33121221201331.

It can be written as a sum of positive squares in 4 ways, for example, as 3458253491044 + 9851958721089 = 1859638^2 + 3138783^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13310212212133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13310212212098 and 13310212212107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310212212113) 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 in 7 ways as a sum of consecutive naturals, for example, 7715158 + ... + 9281383.

It is an arithmetic number, because the mean of its divisors is an integer number (1671414445467).

Almost surely, 2^{13310212212133} is an apocalyptic number.

It is an amenable number.

13310212212133 is a deficient number, since it is larger than the sum of its proper divisors (61103351603).

13310212212133 is a wasteful number, since it uses less digits than its factorization.

13310212212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000135.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13310212212133 its reverse (33121221201331), we get a palindrome (46431433413464).

The spelling of 13310212212133 in words is "thirteen trillion, three hundred ten billion, two hundred twelve million, two hundred twelve thousand, one hundred thirty-three".