101331000011223 has 24 divisors (see below), whose sum is σ = 150418551759216. Its totient is φ = 65686377427200.

The previous prime is 101331000011207. The next prime is 101331000011291. The reversal of 101331000011223 is 322110000133101.

101331000011223 is a `hidden beast` number, since 101 + 331 + 0 + 0 + 0 + 0 + 11 + 223 = 666.

It is not a de Polignac number, because 101331000011223 - 2⁴ = 101331000011207 is a prime.

It is a super-2 number, since 2×101331000011223² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101331000011196 and 101331000011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331000011123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96325138 + ... + 97371423.

It is an arithmetic number, because the mean of its divisors is an integer number (6267439656634).

Almost surely, 2^{101331000011223} is an apocalyptic number.

101331000011223 is a deficient number, since it is larger than the sum of its proper divisors (49087551747993).

101331000011223 is a wasteful number, since it uses less digits than its factorization.

101331000011223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193698175 (or 193698172 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101331000011223 its reverse (322110000133101), we get a palindrome (423441000144324).

The spelling of 101331000011223 in words is "one hundred one trillion, three hundred thirty-one billion, eleven thousand, two hundred twenty-three".