13011164224 has 56 divisors (see below), whose sum is σ = 26120791040. Its totient is φ = 6429943296.

The previous prime is 13011164171. The next prime is 13011164233. The reversal of 13011164224 is 42246111031.

It is a super-3 number, since 3×13011164224³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2248567 + ... + 2254345.

Almost surely, 2^13011164224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060395520).

13011164224 is an abundant number, since it is smaller than the sum of its proper divisors (13109626816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13011164224 is a wasteful number, since it uses less digits than its factorization.

13011164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13011164224 its reverse (42246111031), we get a palindrome (55257275255).

The spelling of 13011164224 in words is "thirteen billion, eleven million, one hundred sixty-four thousand, two hundred twenty-four".