10003331310032 has 20 divisors (see below), whose sum is σ = 19381569665700. Its totient is φ = 5001635912448.

The previous prime is 10003331310029. The next prime is 10003331310047. The reversal of 10003331310032 is 23001313330001.

It can be written as a sum of positive squares in 2 ways, for example, as 2737912952896 + 7265418357136 = 1654664^2 + 2695444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10003331309986 and 10003331310013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1054148 + ... + 4595420.

It is an arithmetic number, because the mean of its divisors is an integer number (969078483285).

Almost surely, 2^{10003331310032} is an apocalyptic number.

It is an amenable number.

10003331310032 is a deficient number, since it is larger than the sum of its proper divisors (9378238355668).

10003331310032 is a wasteful number, since it uses less digits than its factorization.

10003331310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717830 (or 3717824 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10003331310032 its reverse (23001313330001), we get a palindrome (33004644640033).

The spelling of 10003331310032 in words is "ten trillion, three billion, three hundred thirty-one million, three hundred ten thousand, thirty-two".