13245313593330 has 1152 divisors, whose sum is σ = 48118340874240. Its totient is φ = 2450093184000.

The previous prime is 13245313593319. The next prime is 13245313593371. The reversal of 13245313593330 is 3339531354231.

13245313593330 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 53 + 1 + 3 + 593 + 3 + 3 + 0 = 666.

It is a super-3 number, since 3×13245313593330³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3439445905 + ... + 3439449755.

It is an arithmetic number, because the mean of its divisors is an integer number (41769393120).

Almost surely, 2^{13245313593330} is an apocalyptic number.

13245313593330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13245313593330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059170437120).

13245313593330 is an abundant number, since it is smaller than the sum of its proper divisors (34873027280910).

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

13245313593330 is a wasteful number, since it uses less digits than its factorization.

13245313593330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 45.

The spelling of 13245313593330 in words is "thirteen trillion, two hundred forty-five billion, three hundred thirteen million, five hundred ninety-three thousand, three hundred thirty".