21321310111311 has 64 divisors (see below), whose sum is σ = 33096547123200. Its totient is φ = 11957889340800.

The previous prime is 21321310111307. The next prime is 21321310111349. The reversal of 21321310111311 is 11311101312312.

It is not a de Polignac number, because 21321310111311 - 2² = 21321310111307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321310511311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944621656 + ... + 944644226.

It is an arithmetic number, because the mean of its divisors is an integer number (517133548800).

Almost surely, 2^{21321310111311} is an apocalyptic number.

21321310111311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21321310111311 is a deficient number, since it is larger than the sum of its proper divisors (11775237011889).

21321310111311 is a wasteful number, since it uses less digits than its factorization.

21321310111311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26020.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 21321310111311 its reverse (11311101312312), we get a palindrome (32632411423623).

The spelling of 21321310111311 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred ten million, one hundred eleven thousand, three hundred eleven".