1003134032031 has 16 divisors (see below), whose sum is σ = 1344354624000. Its totient is φ = 665343318528.

The previous prime is 1003134031969. The next prime is 1003134032071. The reversal of 1003134032031 is 1302304313001.

It is not a de Polignac number, because 1003134032031 - 2¹⁰ = 1003134031007 is a prime.

It is a super-2 number, since 2×1003134032031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003134031989 and 1003134032007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003134032071) 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 15 ways as a sum of consecutive naturals, for example, 605671 + ... + 1540488.

It is an arithmetic number, because the mean of its divisors is an integer number (84022164000).

Almost surely, 2^{1003134032031} is an apocalyptic number.

1003134032031 is a deficient number, since it is larger than the sum of its proper divisors (341220591969).

1003134032031 is a wasteful number, since it uses less digits than its factorization.

1003134032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146958.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1003134032031 its reverse (1302304313001), we get a palindrome (2305438345032).

The spelling of 1003134032031 in words is "one trillion, three billion, one hundred thirty-four million, thirty-two thousand, thirty-one".