1033031131133 has 2 divisors, whose sum is σ = 1033031131134. Its totient is φ = 1033031131132.

The previous prime is 1033031131117. The next prime is 1033031131229. The reversal of 1033031131133 is 3311311303301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 955197384964 + 77833746169 = 977342^2 + 278987^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033031131133 - 2⁴ = 1033031131117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033031131099 and 1033031131108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033031131333) 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 as a sum of consecutive naturals, namely, 516515565566 + 516515565567.

It is an arithmetic number, because the mean of its divisors is an integer number (516515565567).

Almost surely, 2^{1033031131133} is an apocalyptic number.

It is an amenable number.

1033031131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033031131133 is an equidigital number, since it uses as much as digits as its factorization.

1033031131133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1033031131133 its reverse (3311311303301), we get a palindrome (4344342434434).

The spelling of 1033031131133 in words is "one trillion, thirty-three billion, thirty-one million, one hundred thirty-one thousand, one hundred thirty-three".