1031133200031 has 12 divisors (see below), whose sum is σ = 1624815951720. Its totient is φ = 624929212080.

The previous prime is 1031133199909. The next prime is 1031133200063. The reversal of 1031133200031 is 1300023311301.

It is a happy number.

1031133200031 is a `hidden beast` number, since 1 + 0 + 311 + 3 + 320 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 1031133200031 - 2¹⁵ = 1031133167263 is a prime.

It is a super-2 number, since 2×1031133200031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031133199977 and 1031133200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031133205031) 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 11 ways as a sum of consecutive naturals, for example, 5207743336 + ... + 5207743533.

It is an arithmetic number, because the mean of its divisors is an integer number (135401329310).

Almost surely, 2^{1031133200031} is an apocalyptic number.

1031133200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1031133200031 is a deficient number, since it is larger than the sum of its proper divisors (593682751689).

1031133200031 is a wasteful number, since it uses less digits than its factorization.

1031133200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415486886 (or 10415486883 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1031133200031 its reverse (1300023311301), we get a palindrome (2331156511332).

The spelling of 1031133200031 in words is "one trillion, thirty-one billion, one hundred thirty-three million, two hundred thousand, thirty-one".