10223311101003 has 128 divisors (see below), whose sum is σ = 20345213952000. Its totient is φ = 4899924316800.

The previous prime is 10223311100957. The next prime is 10223311101019. The reversal of 10223311101003 is 30010111332201.

It is not a de Polignac number, because 10223311101003 - 2²⁸ = 10223042665547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10223311100003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56639568 + ... + 56819778.

It is an arithmetic number, because the mean of its divisors is an integer number (158946984000).

Almost surely, 2^{10223311101003} is an apocalyptic number.

10223311101003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10223311101003 is a deficient number, since it is larger than the sum of its proper divisors (10121902850997).

10223311101003 is a wasteful number, since it uses less digits than its factorization.

10223311101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182350 (or 182344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10223311101003 its reverse (30010111332201), we get a palindrome (40233422433204).

The spelling of 10223311101003 in words is "ten trillion, two hundred twenty-three billion, three hundred eleven million, one hundred one thousand, three".