10002330311103 has 32 divisors (see below), whose sum is σ = 16104538788800. Its totient is φ = 6098809707648.

The previous prime is 10002330311081. The next prime is 10002330311147. The reversal of 10002330311103 is 30111303320001.

It is a happy number.

10002330311103 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 330 + 311 + 10 + 3 = 666.

It is not a de Polignac number, because 10002330311103 - 2²⁵ = 10002296756671 is a prime.

It is a super-2 number, since 2×10002330311103² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002330311153) 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 31 ways as a sum of consecutive naturals, for example, 130680400 + ... + 130756917.

It is an arithmetic number, because the mean of its divisors is an integer number (503266837150).

Almost surely, 2^{10002330311103} is an apocalyptic number.

10002330311103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10002330311103 is a deficient number, since it is larger than the sum of its proper divisors (6102208477697).

10002330311103 is a wasteful number, since it uses less digits than its factorization.

10002330311103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261437448 (or 261437442 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10002330311103 its reverse (30111303320001), we get a palindrome (40113633631104).

The spelling of 10002330311103 in words is "ten trillion, two billion, three hundred thirty million, three hundred eleven thousand, one hundred three".