13142433032120 has 256 divisors, whose sum is σ = 34806500720640. Its totient is φ = 4371800076288.

The previous prime is 13142433031997. The next prime is 13142433032149. The reversal of 13142433032120 is 2123033424131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9235721729 + ... + 9235723151.

It is an arithmetic number, because the mean of its divisors is an integer number (135962893440).

Almost surely, 2^{13142433032120} is an apocalyptic number.

13142433032120 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 13142433032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403250360320).

13142433032120 is an abundant number, since it is smaller than the sum of its proper divisors (21664067688520).

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

13142433032120 is a wasteful number, since it uses less digits than its factorization.

13142433032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13142433032120 its reverse (2123033424131), we get a palindrome (15265466456251).

The spelling of 13142433032120 in words is "thirteen trillion, one hundred forty-two billion, four hundred thirty-three million, thirty-two thousand, one hundred twenty".