21213433014401 has 2 divisors, whose sum is σ = 21213433014402. Its totient is φ = 21213433014400.

The previous prime is 21213433014391. The next prime is 21213433014407. The reversal of 21213433014401 is 10441033431212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18611018774401 + 2602414240000 = 4314049^2 + 1613200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21213433014401 is a prime.

It is not a weakly prime, because it can be changed into another prime (21213433014407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606716507200 + 10606716507201.

It is an arithmetic number, because the mean of its divisors is an integer number (10606716507201).

Almost surely, 2^{21213433014401} is an apocalyptic number.

It is an amenable number.

21213433014401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213433014401 is an equidigital number, since it uses as much as digits as its factorization.

21213433014401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 21213433014401 its reverse (10441033431212), we get a palindrome (31654466445613).

The spelling of 21213433014401 in words is "twenty-one trillion, two hundred thirteen billion, four hundred thirty-three million, fourteen thousand, four hundred one".