21100213332331 has 24 divisors (see below), whose sum is σ = 24564905108640. Its totient is φ = 18071341811712.

The previous prime is 21100213332301. The next prime is 21100213332343. The reversal of 21100213332331 is 13323331200112.

It is not a de Polignac number, because 21100213332331 - 2²³ = 21100204943723 is a prime.

It is a super-2 number, since 2×21100213332331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100213332296 and 21100213332305.

It is not an unprimeable number, because it can be changed into a prime (21100213332301) 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, 557406201 + ... + 557444053.

It is an arithmetic number, because the mean of its divisors is an integer number (1023537712860).

Almost surely, 2^{21100213332331} is an apocalyptic number.

21100213332331 is a deficient number, since it is larger than the sum of its proper divisors (3464691776309).

21100213332331 is a wasteful number, since it uses less digits than its factorization.

21100213332331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46723 (or 46716 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 21100213332331 its reverse (13323331200112), we get a palindrome (34423544532443).

The spelling of 21100213332331 in words is "twenty-one trillion, one hundred billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred thirty-one".