101320321332231 has 24 divisors (see below), whose sum is σ = 146543471955504. Its totient is φ = 67458354912000.

The previous prime is 101320321332193. The next prime is 101320321332253. The reversal of 101320321332231 is 132233123023101.

101320321332231 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 321 + 332 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 101320321332231 - 2¹³ = 101320321324039 is a prime.

It is a super-3 number, since 3×101320321332231³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101320321332195 and 101320321332204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320321332731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27434575 + ... + 30907871.

It is an arithmetic number, because the mean of its divisors is an integer number (6105977998146).

Almost surely, 2^{101320321332231} is an apocalyptic number.

101320321332231 is a deficient number, since it is larger than the sum of its proper divisors (45223150623273).

101320321332231 is a wasteful number, since it uses less digits than its factorization.

101320321332231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477551 (or 3477548 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101320321332231 its reverse (132233123023101), we get a palindrome (233553444355332).

The spelling of 101320321332231 in words is "one hundred one trillion, three hundred twenty billion, three hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-one".