1003113331123 has 8 divisors (see below), whose sum is σ = 1003812271920. Its totient is φ = 1002414593280.

The previous prime is 1003113331117. The next prime is 1003113331127. The reversal of 1003113331123 is 3211333113001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003113331123 - 2²⁵ = 1003079776691 is a prime.

It is a super-2 number, since 2×1003113331123² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003113331094 and 1003113331103.

It is not an unprimeable number, because it can be changed into a prime (1003113331127) 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 7 ways as a sum of consecutive naturals, for example, 10605183 + ... + 10699351.

It is an arithmetic number, because the mean of its divisors is an integer number (125476533990).

Almost surely, 2^{1003113331123} is an apocalyptic number.

1003113331123 is a deficient number, since it is larger than the sum of its proper divisors (698940797).

1003113331123 is an equidigital number, since it uses as much as digits as its factorization.

1003113331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101477.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1003113331123 its reverse (3211333113001), we get a palindrome (4214446444124).

The spelling of 1003113331123 in words is "one trillion, three billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred twenty-three".