13013310321011 has 48 divisors (see below), whose sum is σ = 17765818490880. Its totient is φ = 9255051336960.

The previous prime is 13013310320963. The next prime is 13013310321019. The reversal of 13013310321011 is 11012301331031.

It is not a de Polignac number, because 13013310321011 - 2¹⁴ = 13013310304627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013310321019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4459955 + ... + 6776268.

It is an arithmetic number, because the mean of its divisors is an integer number (370121218560).

Almost surely, 2^{13013310321011} is an apocalyptic number.

13013310321011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013310321011 is a deficient number, since it is larger than the sum of its proper divisors (4752508169869).

13013310321011 is a wasteful number, since it uses less digits than its factorization.

13013310321011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236356 (or 11236343 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13013310321011 its reverse (11012301331031), we get a palindrome (24025611652042).

The spelling of 13013310321011 in words is "thirteen trillion, thirteen billion, three hundred ten million, three hundred twenty-one thousand, eleven".