13320121001313 has 128 divisors (see below), whose sum is σ = 22664968667136. Its totient is φ = 6783917184000.

The previous prime is 13320121001303. The next prime is 13320121001419. The reversal of 13320121001313 is 31310012102331.

It is a happy number.

It is not a de Polignac number, because 13320121001313 - 2¹⁶ = 13320120935777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13320121001313.

It is not an unprimeable number, because it can be changed into a prime (13320121001303) 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 127 ways as a sum of consecutive naturals, for example, 111905356 + ... + 112024322.

It is an arithmetic number, because the mean of its divisors is an integer number (177070067712).

Almost surely, 2^{13320121001313} is an apocalyptic number.

It is an amenable number.

13320121001313 is a deficient number, since it is larger than the sum of its proper divisors (9344847665823).

13320121001313 is a wasteful number, since it uses less digits than its factorization.

13320121001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119243.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13320121001313 its reverse (31310012102331), we get a palindrome (44630133103644).

The spelling of 13320121001313 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-one million, one thousand, three hundred thirteen".