13353011001414 has 96 divisors (see below), whose sum is σ = 34823395226880. Its totient is φ = 3612422028096.

The previous prime is 13353011001349. The next prime is 13353011001481. The reversal of 13353011001414 is 41410011035331.

13353011001414 is a `hidden beast` number, since 1 + 3 + 3 + 530 + 1 + 100 + 14 + 14 = 666.

13353011001414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3007737 + ... + 5979339.

It is an arithmetic number, because the mean of its divisors is an integer number (362743700280).

Almost surely, 2^{13353011001414} is an apocalyptic number.

13353011001414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13353011001414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411697613440).

13353011001414 is an abundant number, since it is smaller than the sum of its proper divisors (21470384225466).

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

13353011001414 is a wasteful number, since it uses less digits than its factorization.

13353011001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973514 (or 2973511 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13353011001414 its reverse (41410011035331), we get a palindrome (54763022036745).

The spelling of 13353011001414 in words is "thirteen trillion, three hundred fifty-three billion, eleven million, one thousand, four hundred fourteen".