10033340200000 has 336 divisors, whose sum is σ = 26887889846160. Its totient is φ = 3692482560000.

The previous prime is 10033340199943. The next prime is 10033340200057. The reversal of 10033340200000 is 204333001.

It is an interprime number because it is at equal distance from previous prime (10033340199943) and next prime (10033340200057).

It can be written as a sum of positive squares in 24 ways, for example, as 844972762176 + 9188367437824 = 919224^2 + 3031232^2 .

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

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, 813793836 + ... + 813806164.

It is an arithmetic number, because the mean of its divisors is an integer number (80023481685).

Almost surely, 2^{10033340200000} is an apocalyptic number.

10033340200000 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 10033340200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443944923080).

10033340200000 is an abundant number, since it is smaller than the sum of its proper divisors (16854549646160).

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

10033340200000 is an equidigital number, since it uses as much as digits as its factorization.

10033340200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12662 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10033340200000 its reverse (204333001), we get a palindrome (10033544533001).

The spelling of 10033340200000 in words is "ten trillion, thirty-three billion, three hundred forty million, two hundred thousand".