13083352299360 has 3072 divisors, whose sum is σ = 60085960704000. Its totient is φ = 2589564764160.

The previous prime is 13083352299349. The next prime is 13083352299389. The reversal of 13083352299360 is 6399225338031.

13083352299360 is a `hidden beast` number, since 1 + 3 + 0 + 83 + 3 + 522 + 9 + 9 + 36 + 0 = 666.

13083352299360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13083352299297 and 13083352299306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 44653079374 + ... + 44653079666.

It is an arithmetic number, because the mean of its divisors is an integer number (19559232000).

Almost surely, 2^{13083352299360} is an apocalyptic number.

13083352299360 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 13083352299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30042980352000).

13083352299360 is an abundant number, since it is smaller than the sum of its proper divisors (47002608404640).

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

13083352299360 is a wasteful number, since it uses less digits than its factorization.

13083352299360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 13083352299360 in words is "thirteen trillion, eighty-three billion, three hundred fifty-two million, two hundred ninety-nine thousand, three hundred sixty".