21002311333311 has 128 divisors (see below), whose sum is σ = 36190030848000. Its totient is φ = 10737683066880.

The previous prime is 21002311333303. The next prime is 21002311333319. The reversal of 21002311333311 is 11333311320012.

It is an interprime number because it is at equal distance from previous prime (21002311333303) and next prime (21002311333319).

It is not a de Polignac number, because 21002311333311 - 2³ = 21002311333303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002311333319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 874392060 + ... + 874416078.

It is an arithmetic number, because the mean of its divisors is an integer number (282734616000).

Almost surely, 2^{21002311333311} is an apocalyptic number.

21002311333311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21002311333311 is a deficient number, since it is larger than the sum of its proper divisors (15187719514689).

21002311333311 is a wasteful number, since it uses less digits than its factorization.

21002311333311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25274 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 21002311333311 its reverse (11333311320012), we get a palindrome (32335622653323).

The spelling of 21002311333311 in words is "twenty-one trillion, two billion, three hundred eleven million, three hundred thirty-three thousand, three hundred eleven".