10321312033121 has 8 divisors (see below), whose sum is σ = 10618429263624. Its totient is φ = 10026355655680.

The previous prime is 10321312033079. The next prime is 10321312033159. The reversal of 10321312033121 is 12133021312301.

It can be written as a sum of positive squares in 4 ways, for example, as 132856605025 + 10188455428096 = 364495^2 + 3191936^2 .

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 10321312033121 - 2¹⁸ = 10321311770977 is a prime.

It is a super-3 number, since 3×10321312033121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10321312033421) 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, 540203576 + ... + 540222681.

It is an arithmetic number, because the mean of its divisors is an integer number (1327303657953).

Almost surely, 2^{10321312033121} is an apocalyptic number.

It is an amenable number.

10321312033121 is a deficient number, since it is larger than the sum of its proper divisors (297117230503).

10321312033121 is a wasteful number, since it uses less digits than its factorization.

10321312033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080426531.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10321312033121 its reverse (12133021312301), we get a palindrome (22454333345422).

The spelling of 10321312033121 in words is "ten trillion, three hundred twenty-one billion, three hundred twelve million, thirty-three thousand, one hundred twenty-one".