1000031034033 has 12 divisors (see below), whose sum is σ = 1459380914628. Its totient is φ = 659814289920.

The previous prime is 1000031034019. The next prime is 1000031034083. The reversal of 1000031034033 is 3304301300001.

1000031034033 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 310 + 340 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 831464951409 + 168566082624 = 911847^2 + 410568^2 .

It is not a de Polignac number, because 1000031034033 - 2¹³ = 1000031025841 is a prime.

It is a super-2 number, since 2×1000031034033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000031033997 and 1000031034015.

It is not an unprimeable number, because it can be changed into a prime (1000031034083) 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, 572754588 + ... + 572756333.

It is an arithmetic number, because the mean of its divisors is an integer number (121615076219).

Almost surely, 2^{1000031034033} is an apocalyptic number.

It is an amenable number.

1000031034033 is a deficient number, since it is larger than the sum of its proper divisors (459349880595).

1000031034033 is a wasteful number, since it uses less digits than its factorization.

1000031034033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145511024 (or 1145511021 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1000031034033 its reverse (3304301300001), we get a palindrome (4304332334034).

The spelling of 1000031034033 in words is "one trillion, thirty-one million, thirty-four thousand, thirty-three".