10003111011 has 16 divisors (see below), whose sum is σ = 14822591520. Its totient is φ = 6667315200.

The previous prime is 10003110983. The next prime is 10003111039. The reversal of 10003111011 is 11011130001.

10003111011 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10003110983) and next prime (10003111039).

It is not a de Polignac number, because 10003111011 - 2⁷ = 10003110883 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 = 10003110984 and 10003111002.

It is not an unprimeable number, because it can be changed into a prime (10003111511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97711 + ... + 171911.

It is an arithmetic number, because the mean of its divisors is an integer number (926411970).

Almost surely, 2^10003111011 is an apocalyptic number.

10003111011 is a deficient number, since it is larger than the sum of its proper divisors (4819480509).

10003111011 is an equidigital number, since it uses as much as digits as its factorization.

10003111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79203 (or 79197 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10003111011 its reverse (11011130001), we get a palindrome (21014241012).

The spelling of 10003111011 in words is "ten billion, three million, one hundred eleven thousand, eleven".