21233310100031 has 16 divisors (see below), whose sum is σ = 21293452141056. Its totient is φ = 21173274261216.

The previous prime is 21233310100003. The next prime is 21233310100033. The reversal of 21233310100031 is 13000101333212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21233310100031 is a prime.

It is a super-3 number, since 3×21233310100031³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21233310099976 and 21233310100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233310100033) 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 15 ways as a sum of consecutive naturals, for example, 1720265246 + ... + 1720277588.

It is an arithmetic number, because the mean of its divisors is an integer number (1330840758816).

Almost surely, 2^{21233310100031} is an apocalyptic number.

21233310100031 is a deficient number, since it is larger than the sum of its proper divisors (60142041025).

21233310100031 is a wasteful number, since it uses less digits than its factorization.

21233310100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 21233310100031 its reverse (13000101333212), we get a palindrome (34233411433243).

The spelling of 21233310100031 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred ten million, one hundred thousand, thirty-one".