21100331313 has 6 divisors (see below), whose sum is σ = 30478256354. Its totient is φ = 14066887536.

The previous prime is 21100331207. The next prime is 21100331323. The reversal of 21100331313 is 31313300112.

It is a happy number.

21100331313 is a `hidden beast` number, since 21 + 1 + 0 + 0 + 331 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20715269184 + 385062129 = 143928^2 + 19623^2 .

It is not a de Polignac number, because 21100331313 - 2¹⁷ = 21100200241 is a prime.

It is a super-4 number, since 4×21100331313⁴ (a number of 42 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100331323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1172240620 + ... + 1172240637.

Almost surely, 2^21100331313 is an apocalyptic number.

It is an amenable number.

21100331313 is a deficient number, since it is larger than the sum of its proper divisors (9377925041).

21100331313 is a wasteful number, since it uses less digits than its factorization.

21100331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344481263 (or 2344481260 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21100331313 its reverse (31313300112), we get a palindrome (52413631425).

The spelling of 21100331313 in words is "twenty-one billion, one hundred million, three hundred thirty-one thousand, three hundred thirteen".