21001330003311 has 96 divisors (see below), whose sum is σ = 37542261120000. Its totient is φ = 11043447206400.

The previous prime is 21001330003187. The next prime is 21001330003331. The reversal of 21001330003311 is 11330003310012.

It is a happy number.

21001330003311 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 1 + 330 + 0 + 0 + 331 + 1 = 666.

It is not a de Polignac number, because 21001330003311 - 2⁷ = 21001330003183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001330003331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26223190 + ... + 27012188.

It is an arithmetic number, because the mean of its divisors is an integer number (391065220000).

Almost surely, 2^{21001330003311} is an apocalyptic number.

21001330003311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21001330003311 is a deficient number, since it is larger than the sum of its proper divisors (16540931116689).

21001330003311 is a wasteful number, since it uses less digits than its factorization.

21001330003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789669 (or 789666 counting only the distinct ones).

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

Adding to 21001330003311 its reverse (11330003310012), we get a palindrome (32331333313323).

The spelling of 21001330003311 in words is "twenty-one trillion, one billion, three hundred thirty million, three thousand, three hundred eleven".