1003123312031 has 4 divisors (see below), whose sum is σ = 1026451761192. Its totient is φ = 979794862872.

The previous prime is 1003123312013. The next prime is 1003123312091. The reversal of 1003123312031 is 1302133213001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1003123312031 is a prime.

It is a super-2 number, since 2×1003123312031² (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 = 1003123311994 and 1003123312012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003123312091) 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 3 ways as a sum of consecutive naturals, for example, 11664224516 + ... + 11664224601.

It is an arithmetic number, because the mean of its divisors is an integer number (256612940298).

Almost surely, 2^{1003123312031} is an apocalyptic number.

1003123312031 is a deficient number, since it is larger than the sum of its proper divisors (23328449161).

1003123312031 is an equidigital number, since it uses as much as digits as its factorization.

1003123312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23328449160.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1003123312031 its reverse (1302133213001), we get a palindrome (2305256525032).

The spelling of 1003123312031 in words is "one trillion, three billion, one hundred twenty-three million, three hundred twelve thousand, thirty-one".