13213101020313 has 128 divisors (see below), whose sum is σ = 19526596024320. Its totient is φ = 7913816064000.

The previous prime is 13213101020299. The next prime is 13213101020359. The reversal of 13213101020313 is 31302010131231.

It is a happy number.

It is not a de Polignac number, because 13213101020313 - 2¹⁰ = 13213101019289 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13213101020313.

It is not an unprimeable number, because it can be changed into a prime (13213101020813) 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 127 ways as a sum of consecutive naturals, for example, 10733631408 + ... + 10733632638.

It is an arithmetic number, because the mean of its divisors is an integer number (152551531440).

Almost surely, 2^{13213101020313} is an apocalyptic number.

It is an amenable number.

13213101020313 is a deficient number, since it is larger than the sum of its proper divisors (6313495004007).

13213101020313 is a wasteful number, since it uses less digits than its factorization.

13213101020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939.

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

Adding to 13213101020313 its reverse (31302010131231), we get a palindrome (44515111151544).

The spelling of 13213101020313 in words is "thirteen trillion, two hundred thirteen billion, one hundred one million, twenty thousand, three hundred thirteen".