21314301322401 has 24 divisors (see below), whose sum is σ = 31877166321000. Its totient is φ = 13707398138112.

The previous prime is 21314301322367. The next prime is 21314301322423. The reversal of 21314301322401 is 10422310341312.

21314301322401 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 430 + 1 + 3 + 224 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110569550400 + 21203731772001 = 332520^2 + 4604751^2 .

It is not a de Polignac number, because 21314301322401 - 2⁷ = 21314301322273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21314301322441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35871846 + ... + 36461183.

It is an arithmetic number, because the mean of its divisors is an integer number (1328215263375).

Almost surely, 2^{21314301322401} is an apocalyptic number.

It is an amenable number.

21314301322401 is a deficient number, since it is larger than the sum of its proper divisors (10562864998599).

21314301322401 is a wasteful number, since it uses less digits than its factorization.

21314301322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72334193 (or 72334190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21314301322401 its reverse (10422310341312), we get a palindrome (31736611663713).

The spelling of 21314301322401 in words is "twenty-one trillion, three hundred fourteen billion, three hundred one million, three hundred twenty-two thousand, four hundred one".