13111013322 has 180 divisors, whose sum is σ = 33001110450. Its totient is φ = 3887468640.

The previous prime is 13111013317. The next prime is 13111013347. The reversal of 13111013322 is 22331011131.

It can be written as a sum of positive squares in only one way, i.e., 12715043121 + 395970201 = 112761^2 + 19899^2 .

It is a super-4 number, since 4×13111013322⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13111013295 and 13111013304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 87993304 + ... + 87993452.

Almost surely, 2^13111013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500555225).

13111013322 is an abundant number, since it is smaller than the sum of its proper divisors (19890097128).

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

13111013322 is a wasteful number, since it uses less digits than its factorization.

13111013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13111013322 its reverse (22331011131), we get a palindrome (35442024453).

The spelling of 13111013322 in words is "thirteen billion, one hundred eleven million, thirteen thousand, three hundred twenty-two".