13133314033152 has 320 divisors, whose sum is σ = 36857207844864. Its totient is φ = 4149938257920.

The previous prime is 13133314033139. The next prime is 13133314033171. The reversal of 13133314033152 is 25133041333131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708505853 + ... + 1708513539.

Almost surely, 2^{13133314033152} is an apocalyptic number.

13133314033152 is a gapful number since it is divisible by the number (12) 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 13133314033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428603922432).

13133314033152 is an abundant number, since it is smaller than the sum of its proper divisors (23723893811712).

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

13133314033152 is an equidigital number, since it uses as much as digits as its factorization.

13133314033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 13133314033152 its reverse (25133041333131), we get a palindrome (38266355366283).

The spelling of 13133314033152 in words is "thirteen trillion, one hundred thirty-three billion, three hundred fourteen million, thirty-three thousand, one hundred fifty-two".