10001123123033 has 8 divisors (see below), whose sum is σ = 11455891117440. Its totient is φ = 8552864158560.

The previous prime is 10001123122987. The next prime is 10001123123071. The reversal of 10001123123033 is 33032132110001.

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 10001123123033 - 2²⁴ = 10001106345817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001123122996 and 10001123123014.

It is not an unprimeable number, because it can be changed into a prime (10001123122033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1627254188 + ... + 1627260333.

It is an arithmetic number, because the mean of its divisors is an integer number (1431986389680).

Almost surely, 2^{10001123123033} is an apocalyptic number.

It is an amenable number.

10001123123033 is a deficient number, since it is larger than the sum of its proper divisors (1454767994407).

10001123123033 is an equidigital number, since it uses as much as digits as its factorization.

10001123123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254514967.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10001123123033 its reverse (33032132110001), we get a palindrome (43033255233034).

The spelling of 10001123123033 in words is "ten trillion, one billion, one hundred twenty-three million, one hundred twenty-three thousand, thirty-three".