10023133220321 has 8 divisors (see below), whose sum is σ = 10794243121704. Its totient is φ = 9252037555200.

The previous prime is 10023133220297. The next prime is 10023133220357. The reversal of 10023133220321 is 12302233132001.

10023133220321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3576429411025 + 6446703809296 = 1891145^2 + 2539036^2 .

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 10023133220321 - 2⁶ = 10023133220257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10023133220921) 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, 2073830 + ... + 4934271.

It is an arithmetic number, because the mean of its divisors is an integer number (1349280390213).

Almost surely, 2^{10023133220321} is an apocalyptic number.

It is an amenable number.

10023133220321 is a deficient number, since it is larger than the sum of its proper divisors (771109901383).

10023133220321 is a wasteful number, since it uses less digits than its factorization.

10023133220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118131.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10023133220321 its reverse (12302233132001), we get a palindrome (22325366352322).

The spelling of 10023133220321 in words is "ten trillion, twenty-three billion, one hundred thirty-three million, two hundred twenty thousand, three hundred twenty-one".