21002003113311 has 48 divisors (see below), whose sum is σ = 33120240671232. Its totient is φ = 12718423411200.

The previous prime is 21002003113291. The next prime is 21002003113327. The reversal of 21002003113311 is 11331130020012.

21002003113311 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 20 + 0 + 311 + 331 + 1 = 666.

It is not a de Polignac number, because 21002003113311 - 2¹⁵ = 21002003080543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002003113811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750513226 + ... + 750541208.

It is an arithmetic number, because the mean of its divisors is an integer number (690005013984).

Almost surely, 2^{21002003113311} is an apocalyptic number.

21002003113311 is a deficient number, since it is larger than the sum of its proper divisors (12118237557921).

21002003113311 is a wasteful number, since it uses less digits than its factorization.

21002003113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33724 (or 33721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21002003113311 its reverse (11331130020012), we get a palindrome (32333133133323).

The spelling of 21002003113311 in words is "twenty-one trillion, two billion, three million, one hundred thirteen thousand, three hundred eleven".