10003133110031 has 2 divisors, whose sum is σ = 10003133110032. Its totient is φ = 10003133110030.

The previous prime is 10003133110027. The next prime is 10003133110081. The reversal of 10003133110031 is 13001133130001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10003133110031 - 2² = 10003133110027 is a prime.

It is a super-2 number, since 2×10003133110031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10003133109991 and 10003133110009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003133110081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001566555015 + 5001566555016.

It is an arithmetic number, because the mean of its divisors is an integer number (5001566555016).

Almost surely, 2^{10003133110031} is an apocalyptic number.

10003133110031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003133110031 is an equidigital number, since it uses as much as digits as its factorization.

10003133110031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10003133110031 its reverse (13001133130001), we get a palindrome (23004266240032).

The spelling of 10003133110031 in words is "ten trillion, three billion, one hundred thirty-three million, one hundred ten thousand, thirty-one".