13110034221313 has 8 divisors (see below), whose sum is σ = 13289906905736. Its totient is φ = 12930169190400.

The previous prime is 13110034221311. The next prime is 13110034221343. The reversal of 13110034221313 is 31312243001131.

It can be written as a sum of positive squares in 4 ways, for example, as 9791035257969 + 3318998963344 = 3129063^2 + 1821812^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13110034221313 - 2¹ = 13110034221311 is a prime.

It is a super-3 number, since 3×13110034221313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13110034221311) 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 7 ways as a sum of consecutive naturals, for example, 1579453 + ... + 5358613.

It is an arithmetic number, because the mean of its divisors is an integer number (1661238363217).

Almost surely, 2^{13110034221313} is an apocalyptic number.

It is an amenable number.

13110034221313 is a deficient number, since it is larger than the sum of its proper divisors (179872684423).

13110034221313 is an equidigital number, since it uses as much as digits as its factorization.

13110034221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826755.

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

Adding to 13110034221313 its reverse (31312243001131), we get a palindrome (44422277222444).

The spelling of 13110034221313 in words is "thirteen trillion, one hundred ten billion, thirty-four million, two hundred twenty-one thousand, three hundred thirteen".