13403013312000 has 1280 divisors, whose sum is σ = 50169196965888. Its totient is φ = 3152727244800.

The previous prime is 13403013311977. The next prime is 13403013312011. The reversal of 13403013312000 is 21331030431.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5044414672 + ... + 5044417328.

Almost surely, 2^{13403013312000} is an apocalyptic number.

13403013312000 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 13403013312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084598482944).

13403013312000 is an abundant number, since it is smaller than the sum of its proper divisors (36766183653888).

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

13403013312000 is a wasteful number, since it uses less digits than its factorization.

13403013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13403013312000 its reverse (21331030431), we get a palindrome (13424344342431).

The spelling of 13403013312000 in words is "thirteen trillion, four hundred three billion, thirteen million, three hundred twelve thousand".