101321220223133 has 8 divisors (see below), whose sum is σ = 102008203143000. Its totient is φ = 100634330299968.

The previous prime is 101321220223121. The next prime is 101321220223177. The reversal of 101321220223133 is 331322022123101.

It can be written as a sum of positive squares in 4 ways, for example, as 9267135374809 + 92054084848324 = 3044197^2 + 9594482^2 .

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 101321220223133 - 2²⁰ = 101321219174557 is a prime.

It is a super-4 number, since 4×101321220223133⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321220223033) 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, 21062066 + ... + 25421507.

It is an arithmetic number, because the mean of its divisors is an integer number (12751025392875).

Almost surely, 2^{101321220223133} is an apocalyptic number.

It is an amenable number.

101321220223133 is a deficient number, since it is larger than the sum of its proper divisors (686982919867).

101321220223133 is a wasteful number, since it uses less digits than its factorization.

101321220223133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46498351.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101321220223133 its reverse (331322022123101), we get a palindrome (432643242346234).

The spelling of 101321220223133 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, two hundred twenty-three thousand, one hundred thirty-three".