13033133223220 has 144 divisors (see below), whose sum is σ = 30226870472400. Its totient is φ = 4716837734400.

The previous prime is 13033133223217. The next prime is 13033133223233. The reversal of 13033133223220 is 2232233133031.

13033133223220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 80317827216 + 12952815396004 = 283404^2 + 3599002^2 .

It is a super-2 number, since 2×13033133223220² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664640776 + ... + 664660384.

It is an arithmetic number, because the mean of its divisors is an integer number (209908822725).

Almost surely, 2^{13033133223220} is an apocalyptic number.

13033133223220 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 13033133223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113435236200).

13033133223220 is an abundant number, since it is smaller than the sum of its proper divisors (17193737249180).

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

13033133223220 is a wasteful number, since it uses less digits than its factorization.

13033133223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20930 (or 20917 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13033133223220 its reverse (2232233133031), we get a palindrome (15265366356251).

The spelling of 13033133223220 in words is "thirteen trillion, thirty-three billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred twenty".