21332144240401 has 2 divisors, whose sum is σ = 21332144240402. Its totient is φ = 21332144240400.

The previous prime is 21332144240377. The next prime is 21332144240453. The reversal of 21332144240401 is 10404244123312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11132098790400 + 10200045450001 = 3336480^2 + 3193751^2 .

It is a cyclic number.

It is not a de Polignac number, because 21332144240401 - 2³¹ = 21329996756753 is a prime.

It is not a weakly prime, because it can be changed into another prime (21332144240201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10666072120200 + 10666072120201.

It is an arithmetic number, because the mean of its divisors is an integer number (10666072120201).

Almost surely, 2^{21332144240401} is an apocalyptic number.

It is an amenable number.

21332144240401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21332144240401 is an equidigital number, since it uses as much as digits as its factorization.

21332144240401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 21332144240401 its reverse (10404244123312), we get a palindrome (31736388363713).

The spelling of 21332144240401 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred forty-four million, two hundred forty thousand, four hundred one".