1000033032113 has 8 divisors (see below), whose sum is σ = 1018305842856. Its totient is φ = 981820828800.

The previous prime is 1000033032107. The next prime is 1000033032121. The reversal of 1000033032113 is 3112303300001.

It can be written as a sum of positive squares in 4 ways, for example, as 119932001344 + 880101030769 = 346312^2 + 938137^2 .

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 1000033032113 - 2³² = 995738064817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000033032091 and 1000033032100.

It is not an unprimeable number, because it can be changed into a prime (1000033032413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15118556 + ... + 15184557.

It is an arithmetic number, because the mean of its divisors is an integer number (127288230357).

Almost surely, 2^{1000033032113} is an apocalyptic number.

It is an amenable number.

1000033032113 is a deficient number, since it is larger than the sum of its proper divisors (18272810743).

1000033032113 is an equidigital number, since it uses as much as digits as its factorization.

1000033032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30303715.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1000033032113 its reverse (3112303300001), we get a palindrome (4112336332114).

The spelling of 1000033032113 in words is "one trillion, thirty-three million, thirty-two thousand, one hundred thirteen".