10033213212320 has 192 divisors, whose sum is σ = 25427141308800. Its totient is φ = 3729837404160.

The previous prime is 10033213212311. The next prime is 10033213212329. The reversal of 10033213212320 is 2321231233001.

It is an interprime number because it is at equal distance from previous prime (10033213212311) and next prime (10033213212329).

It is a super-2 number, since 2×10033213212320² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10033213212329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70210382 + ... + 70353138.

It is an arithmetic number, because the mean of its divisors is an integer number (132433027650).

Almost surely, 2^{10033213212320} is an apocalyptic number.

10033213212320 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 10033213212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713570654400).

10033213212320 is an abundant number, since it is smaller than the sum of its proper divisors (15393928096480).

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

10033213212320 is a wasteful number, since it uses less digits than its factorization.

10033213212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143231 (or 143223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10033213212320 its reverse (2321231233001), we get a palindrome (12354444445321).

The spelling of 10033213212320 in words is "ten trillion, thirty-three billion, two hundred thirteen million, two hundred twelve thousand, three hundred twenty".