21311331201321 has 64 divisors (see below), whose sum is σ = 32854588416000. Its totient is φ = 12035788128000.

The previous prime is 21311331201313. The next prime is 21311331201331. The reversal of 21311331201321 is 12310213311312.

It is not a de Polignac number, because 21311331201321 - 2³ = 21311331201313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21311331201291 and 21311331201300.

It is not an unprimeable number, because it can be changed into a prime (21311331201331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3765915390 + ... + 3765921048.

It is an arithmetic number, because the mean of its divisors is an integer number (513352944000).

Almost surely, 2^{21311331201321} is an apocalyptic number.

21311331201321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21311331201321 is a deficient number, since it is larger than the sum of its proper divisors (11543257214679).

21311331201321 is a wasteful number, since it uses less digits than its factorization.

21311331201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21311331201321 its reverse (12310213311312), we get a palindrome (33621544512633).

The spelling of 21311331201321 in words is "twenty-one trillion, three hundred eleven billion, three hundred thirty-one million, two hundred one thousand, three hundred twenty-one".