13133225202240 has 448 divisors, whose sum is σ = 50677099925760. Its totient is φ = 2837561180160.

The previous prime is 13133225202221. The next prime is 13133225202277. The reversal of 13133225202240 is 4220252233131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13133225202198 and 13133225202207.

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 63 ways as a sum of consecutive naturals, for example, 2331682 + ... + 5630558.

It is an arithmetic number, because the mean of its divisors is an integer number (113118526620).

Almost surely, 2^{13133225202240} is an apocalyptic number.

13133225202240 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 13133225202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338549962880).

13133225202240 is an abundant number, since it is smaller than the sum of its proper divisors (37543874723520).

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

13133225202240 is a wasteful number, since it uses less digits than its factorization.

13133225202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298950 (or 3298940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13133225202240 its reverse (4220252233131), we get a palindrome (17353477435371).

The spelling of 13133225202240 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twenty-five million, two hundred two thousand, two hundred forty".