13346502401120 has 384 divisors, whose sum is σ = 37562346307584. Its totient is φ = 4385145600000.

The previous prime is 13346502401119. The next prime is 13346502401171. The reversal of 13346502401120 is 2110420564331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 1735336475 + ... + 1735344165.

It is an arithmetic number, because the mean of its divisors is an integer number (97818610176).

Almost surely, 2^{13346502401120} is an apocalyptic number.

13346502401120 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 13346502401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781173153792).

13346502401120 is an abundant number, since it is smaller than the sum of its proper divisors (24215843906464).

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

13346502401120 is a wasteful number, since it uses less digits than its factorization.

13346502401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 13346502401120 its reverse (2110420564331), we get a palindrome (15456922965451).

The spelling of 13346502401120 in words is "thirteen trillion, three hundred forty-six billion, five hundred two million, four hundred one thousand, one hundred twenty".