13013213333331 has 16 divisors (see below), whose sum is σ = 17997673417856. Its totient is φ = 8357641943616.

The previous prime is 13013213333321. The next prime is 13013213333363. The reversal of 13013213333331 is 13333331231031.

It is not a de Polignac number, because 13013213333331 - 2¹⁷ = 13013213202259 is a prime.

It is a super-2 number, since 2×13013213333331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013213333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690933205 + ... + 690952038.

It is an arithmetic number, because the mean of its divisors is an integer number (1124854588616).

Almost surely, 2^{13013213333331} is an apocalyptic number.

13013213333331 is a deficient number, since it is larger than the sum of its proper divisors (4984460084525).

13013213333331 is a wasteful number, since it uses less digits than its factorization.

13013213333331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381885362.

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 13013213333331 its reverse (13333331231031), we get a palindrome (26346544564362).

The spelling of 13013213333331 in words is "thirteen trillion, thirteen billion, two hundred thirteen million, three hundred thirty-three thousand, three hundred thirty-one".