21400013142321 has 32 divisors (see below), whose sum is σ = 32234054737920. Its totient is φ = 12511227081600.

The previous prime is 21400013142241. The next prime is 21400013142353. The reversal of 21400013142321 is 12324131000412.

It is not a de Polignac number, because 21400013142321 - 2¹⁸ = 21400012880177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21400013142291 and 21400013142300.

It is not an unprimeable number, because it can be changed into a prime (21400013142421) 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 31 ways as a sum of consecutive naturals, for example, 33096541 + ... + 33736938.

It is an arithmetic number, because the mean of its divisors is an integer number (1007314210560).

Almost surely, 2^{21400013142321} is an apocalyptic number.

It is an amenable number.

21400013142321 is a deficient number, since it is larger than the sum of its proper divisors (10834041595599).

21400013142321 is a wasteful number, since it uses less digits than its factorization.

21400013142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66833837.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21400013142321 its reverse (12324131000412), we get a palindrome (33724144142733).

The spelling of 21400013142321 in words is "twenty-one trillion, four hundred billion, thirteen million, one hundred forty-two thousand, three hundred twenty-one".