1031133033013 has 8 divisors (see below), whose sum is σ = 1039243824216. Its totient is φ = 1023053740800.

The previous prime is 1031133032999. The next prime is 1031133033017. The reversal of 1031133033013 is 3103303311301.

It can be written as a sum of positive squares in 4 ways, for example, as 2332600209 + 1028800432804 = 48297^2 + 1014298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1031133033013 - 2¹⁷ = 1031132901941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031133033017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7809018 + ... + 7939963.

It is an arithmetic number, because the mean of its divisors is an integer number (129905478027).

Almost surely, 2^{1031133033013} is an apocalyptic number.

It is an amenable number.

1031133033013 is a deficient number, since it is larger than the sum of its proper divisors (8110791203).

1031133033013 is a wasteful number, since it uses less digits than its factorization.

1031133033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15749495.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1031133033013 its reverse (3103303311301), we get a palindrome (4134436344314).

The spelling of 1031133033013 in words is "one trillion, thirty-one billion, one hundred thirty-three million, thirty-three thousand, thirteen".