10023311332001 has 8 divisors (see below), whose sum is σ = 10934663493600. Its totient is φ = 9111982843840.

The previous prime is 10023311331959. The next prime is 10023311332019.

10023311332001 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10023311332001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10023311332081) 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 7 ways as a sum of consecutive naturals, for example, 5027231 + ... + 6731988.

It is an arithmetic number, because the mean of its divisors is an integer number (1366832936700).

Almost surely, 2^{10023311332001} is an apocalyptic number.

10023311332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023311332001 is a deficient number, since it is larger than the sum of its proper divisors (911352161599).

10023311332001 is a wasteful number, since it uses less digits than its factorization.

10023311332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836719.

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

It can be divided in two parts, 1002331 and 1332001, that added together give a palindrome (2334332).

The spelling of 10023311332001 in words is "ten trillion, twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, one".