13111133420 has 96 divisors (see below), whose sum is σ = 34353123840. Its totient is φ = 4083517440.

The previous prime is 13111133389. The next prime is 13111133423. The reversal of 13111133420 is 2433111131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13111133392 and 13111133401.

It is not an unprimeable number, because it can be changed into a prime (13111133423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2906807 + ... + 2911313.

It is an arithmetic number, because the mean of its divisors is an integer number (357845040).

Almost surely, 2^13111133420 is an apocalyptic number.

13111133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176561920).

13111133420 is an abundant number, since it is smaller than the sum of its proper divisors (21241990420).

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

13111133420 is a wasteful number, since it uses less digits than its factorization.

13111133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13111133420 its reverse (2433111131), we get a palindrome (15544244551).

The spelling of 13111133420 in words is "thirteen billion, one hundred eleven million, one hundred thirty-three thousand, four hundred twenty".