10343333000000 has 784 divisors, whose sum is σ = 34450531527552. Its totient is φ = 2975616000000.

The previous prime is 10343332999999. The next prime is 10343333000041. The reversal of 10343333000000 is 33334301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1000994834 + ... + 1001005166.

Almost surely, 2^{10343333000000} is an apocalyptic number.

10343333000000 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 10343333000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225265763776).

10343333000000 is an abundant number, since it is smaller than the sum of its proper divisors (24107198527552).

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

10343333000000 is an equidigital number, since it uses as much as digits as its factorization.

10343333000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10371 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 10343333000000 its reverse (33334301), we get a palindrome (10343366334301).

The spelling of 10343333000000 in words is "ten trillion, three hundred forty-three billion, three hundred thirty-three million", and thus it is an aban number.