21133001313 has 24 divisors (see below), whose sum is σ = 32158100000. Its totient is φ = 13336337664.

The previous prime is 21133001303. The next prime is 21133001333. The reversal of 21133001313 is 31310033112.

It is a happy number.

21133001313 is a `hidden beast` number, since 21 + 1 + 330 + 0 + 1 + 313 = 666.

It is not a de Polignac number, because 21133001313 - 2⁴ = 21133001297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21133001303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164106 + ... + 263052.

Almost surely, 2^21133001313 is an apocalyptic number.

It is an amenable number.

21133001313 is a deficient number, since it is larger than the sum of its proper divisors (11025098687).

21133001313 is a wasteful number, since it uses less digits than its factorization.

21133001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100221 (or 100218 counting only the distinct ones).

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

Adding to 21133001313 its reverse (31310033112), we get a palindrome (52443034425).

The spelling of 21133001313 in words is "twenty-one billion, one hundred thirty-three million, one thousand, three hundred thirteen".