14332400400133 has 2 divisors, whose sum is σ = 14332400400134. Its totient is φ = 14332400400132.

The previous prime is 14332400400067. The next prime is 14332400400139. The reversal of 14332400400133 is 33100400423341.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11955876006529 + 2376524393604 = 3457727^2 + 1541598^2 .

It is an emirp because it is prime and its reverse (33100400423341) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 14332400400133 - 2¹³ = 14332400391941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14332400400139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7166200200066 + 7166200200067.

It is an arithmetic number, because the mean of its divisors is an integer number (7166200200067).

Almost surely, 2^{14332400400133} is an apocalyptic number.

It is an amenable number.

14332400400133 is a deficient number, since it is larger than the sum of its proper divisors (1).

14332400400133 is an equidigital number, since it uses as much as digits as its factorization.

14332400400133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 14332400400133 its reverse (33100400423341), we get a palindrome (47432800823474).

The spelling of 14332400400133 in words is "fourteen trillion, three hundred thirty-two billion, four hundred million, four hundred thousand, one hundred thirty-three".