13433514000000 has 448 divisors, whose sum is σ = 44777745587520. Its totient is φ = 3568230400000.

The previous prime is 13433513999999. The next prime is 13433514000077. The reversal of 13433514000000 is 41533431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1577995744 + ... + 1578004256.

Almost surely, 2^{13433514000000} is an apocalyptic number.

13433514000000 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 13433514000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22388872793760).

13433514000000 is an abundant number, since it is smaller than the sum of its proper divisors (31344231587520).

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

13433514000000 is an frugal number, since it uses more digits than its factorization.

13433514000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 13433514000000 its reverse (41533431), we get a palindrome (13433555533431).

The spelling of 13433514000000 in words is "thirteen trillion, four hundred thirty-three billion, five hundred fourteen million", and thus it is an aban number.