13033122244020 has 192 divisors, whose sum is σ = 41504934240000. Its totient is φ = 3393489157632.

The previous prime is 13033122244007. The next prime is 13033122244081. The reversal of 13033122244020 is 2044222133031.

13033122244020 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 31 + 2 + 224 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67450506 + ... + 67643454.

It is an arithmetic number, because the mean of its divisors is an integer number (216171532500).

Almost surely, 2^{13033122244020} is an apocalyptic number.

13033122244020 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 13033122244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752467120000).

13033122244020 is an abundant number, since it is smaller than the sum of its proper divisors (28471811995980).

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

13033122244020 is a wasteful number, since it uses less digits than its factorization.

13033122244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195919 (or 195911 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13033122244020 its reverse (2044222133031), we get a palindrome (15077344377051).

The spelling of 13033122244020 in words is "thirteen trillion, thirty-three billion, one hundred twenty-two million, two hundred forty-four thousand, twenty".