1003013101123 has 48 divisors (see below), whose sum is σ = 1163465735040. Its totient is φ = 857392905600.

The previous prime is 1003013101117. The next prime is 1003013101133. The reversal of 1003013101123 is 3211013103001.

It is not a de Polignac number, because 1003013101123 - 2¹⁷ = 1003012970051 is a prime.

It is a super-2 number, since 2×1003013101123² (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 = 1003013101097 and 1003013101106.

It is not an unprimeable number, because it can be changed into a prime (1003013101133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351070711 + ... + 351073567.

It is an arithmetic number, because the mean of its divisors is an integer number (24238869480).

Almost surely, 2^{1003013101123} is an apocalyptic number.

1003013101123 is a deficient number, since it is larger than the sum of its proper divisors (160452633917).

1003013101123 is a wasteful number, since it uses less digits than its factorization.

1003013101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1003013101123 its reverse (3211013103001), we get a palindrome (4214026204124).

The spelling of 1003013101123 in words is "one trillion, three billion, thirteen million, one hundred one thousand, one hundred twenty-three".