10000000003311 has 16 divisors (see below), whose sum is σ = 14981273416800. Its totient is φ = 6591760300224.

The previous prime is 10000000003249. The next prime is 10000000003327. The reversal of 10000000003311 is 11330000000001.

It is not a de Polignac number, because 10000000003311 - 2¹⁹ = 9999999479023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000000003293 and 10000000003302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000003351) 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 15 ways as a sum of consecutive naturals, for example, 2080730016 + ... + 2080734821.

It is an arithmetic number, because the mean of its divisors is an integer number (936329588550).

Almost surely, 2^{10000000003311} is an apocalyptic number.

10000000003311 is a deficient number, since it is larger than the sum of its proper divisors (4981273413489).

10000000003311 is an equidigital number, since it uses as much as digits as its factorization.

10000000003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161464935 (or 4161464929 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10000000003311 its reverse (11330000000001), we get a palindrome (21330000003312).

The spelling of 10000000003311 in words is "ten trillion, three thousand, three hundred eleven".