13433001010000 has 800 divisors, whose sum is σ = 40863990537216. Its totient is φ = 4200960000000.

The previous prime is 13433001009947. The next prime is 13433001010027. The reversal of 13433001010000 is 1010033431.

It is a super-2 number, since 2×13433001010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2455307265 + ... + 2455312735.

Almost surely, 2^{13433001010000} is an apocalyptic number.

13433001010000 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 13433001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431995268608).

13433001010000 is an abundant number, since it is smaller than the sum of its proper divisors (27430989527216).

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

13433001010000 is a wasteful number, since it uses less digits than its factorization.

13433001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13433001010000 its reverse (1010033431), we get a palindrome (13434011043431).

The spelling of 13433001010000 in words is "thirteen trillion, four hundred thirty-three billion, one million, ten thousand".