101201311000323 has 12 divisors (see below), whose sum is σ = 146179951206120. Its totient is φ = 67467411546336.

The previous prime is 101201311000289. The next prime is 101201311000333. The reversal of 101201311000323 is 323000113102101.

101201311000323 is a `hidden beast` number, since 10 + 1 + 20 + 1 + 311 + 0 + 0 + 0 + 323 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-101201311000323 is a prime.

It is a super-2 number, since 2×101201311000323² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201311000296 and 101201311000305.

It is not an unprimeable number, because it can be changed into a prime (101201311000333) 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 11 ways as a sum of consecutive naturals, for example, 5669386 + ... + 15314847.

It is an arithmetic number, because the mean of its divisors is an integer number (12181662600510).

Almost surely, 2^{101201311000323} is an apocalyptic number.

101201311000323 is a deficient number, since it is larger than the sum of its proper divisors (44978640205797).

101201311000323 is a wasteful number, since it uses less digits than its factorization.

101201311000323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21520098 (or 21520095 counting only the distinct ones).

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

Adding to 101201311000323 its reverse (323000113102101), we get a palindrome (424201424102424).

The spelling of 101201311000323 in words is "one hundred one trillion, two hundred one billion, three hundred eleven million, three hundred twenty-three", and thus it is an aban number.