10333213022400 has 84 divisors (see below), whose sum is σ = 33901549740072. Its totient is φ = 2755523471360.

The previous prime is 10333213022369. The next prime is 10333213022401. The reversal of 10333213022400 is 422031233301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10333213022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076371557 + ... + 1076381156.

It is an arithmetic number, because the mean of its divisors is an integer number (403589877858).

Almost surely, 2^{10333213022400} is an apocalyptic number.

10333213022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10333213022400 is an abundant number, since it is smaller than the sum of its proper divisors (23568336717672).

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

10333213022400 is a wasteful number, since it uses less digits than its factorization.

10333213022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152752738 (or 2152752723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10333213022400 its reverse (422031233301), we get a palindrome (10755244255701).

The spelling of 10333213022400 in words is "ten trillion, three hundred thirty-three billion, two hundred thirteen million, twenty-two thousand, four hundred".