13033225941120 has 2304 divisors, whose sum is σ = 61218807886080. Its totient is φ = 2519931617280.

The previous prime is 13033225941103. The next prime is 13033225941137. The reversal of 13033225941120 is 2114952233031.

13033225941120 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 32 + 2 + 594 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13033225941103) and next prime (13033225941137).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 2642046174 + ... + 2642051106.

It is an arithmetic number, because the mean of its divisors is an integer number (26570663145).

Almost surely, 2^{13033225941120} is an apocalyptic number.

13033225941120 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 13033225941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609403943040).

13033225941120 is an abundant number, since it is smaller than the sum of its proper divisors (48185581944960).

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

13033225941120 is a wasteful number, since it uses less digits than its factorization.

13033225941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13033225941120 in words is "thirteen trillion, thirty-three billion, two hundred twenty-five million, nine hundred forty-one thousand, one hundred twenty".