223131021010001 has 8 divisors (see below), whose sum is σ = 240295262361000. Its totient is φ = 205966824895872.

The previous prime is 223131021009997. The next prime is 223131021010039. The reversal of 223131021010001 is 100010120131322.

It can be written as a sum of positive squares in 4 ways, for example, as 84410891251600 + 138720129758401 = 9187540^2 + 11777951^2 .

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 223131021010001 - 2² = 223131021009997 is a prime.

It is a super-3 number, since 3×223131021010001³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223131021010901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695876 + ... + 21136373.

It is an arithmetic number, because the mean of its divisors is an integer number (30036907795125).

Almost surely, 2^{223131021010001} is an apocalyptic number.

It is an amenable number.

223131021010001 is a deficient number, since it is larger than the sum of its proper divisors (17164241350999).

223131021010001 is a wasteful number, since it uses less digits than its factorization.

223131021010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22618435.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 223131021010001 its reverse (100010120131322), we get a palindrome (323141141141323).

The spelling of 223131021010001 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, twenty-one million, ten thousand, one".