13011033223120 has 80 divisors (see below), whose sum is σ = 30647773966032. Its totient is φ = 5136420556800.

The previous prime is 13011033223051. The next prime is 13011033223129. The reversal of 13011033223120 is 2132233011031.

It can be written as a sum of positive squares in 8 ways, for example, as 276469846416 + 12734563376704 = 525804^2 + 3568552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13011033223091 and 13011033223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011033223129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43287 + ... + 5101366.

Almost surely, 2^{13011033223120} is an apocalyptic number.

13011033223120 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 13011033223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15323886983016).

13011033223120 is an abundant number, since it is smaller than the sum of its proper divisors (17636740742912).

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

13011033223120 is a wasteful number, since it uses less digits than its factorization.

13011033223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145080 (or 5145074 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13011033223120 its reverse (2132233011031), we get a palindrome (15143266234151).

The spelling of 13011033223120 in words is "thirteen trillion, eleven billion, thirty-three million, two hundred twenty-three thousand, one hundred twenty".