10003312032000 has 288 divisors, whose sum is σ = 37972575024384. Its totient is φ = 2286471168000.

The previous prime is 10003312031989. The next prime is 10003312032037. The reversal of 10003312032000 is 23021330001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6770941 + ... + 8114940.

Almost surely, 2^{10003312032000} is an apocalyptic number.

10003312032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003312032000 is an abundant number, since it is smaller than the sum of its proper divisors (27969262992384).

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

10003312032000 is an equidigital number, since it uses as much as digits as its factorization.

10003312032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885922 (or 14885898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10003312032000 its reverse (23021330001), we get a palindrome (10026333362001).

The spelling of 10003312032000 in words is "ten trillion, three billion, three hundred twelve million, thirty-two thousand".