201314400144541 has 2 divisors, whose sum is σ = 201314400144542. Its totient is φ = 201314400144540.

The previous prime is 201314400144503. The next prime is 201314400144551. The reversal of 201314400144541 is 145441004413102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199644296238916 + 1670103905625 = 14129554^2 + 1292325^2 .

It is a cyclic number.

It is not a de Polignac number, because 201314400144541 - 2⁷ = 201314400144413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201314400144497 and 201314400144506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201314400144551) 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 as a sum of consecutive naturals, namely, 100657200072270 + 100657200072271.

It is an arithmetic number, because the mean of its divisors is an integer number (100657200072271).

Almost surely, 2^{201314400144541} is an apocalyptic number.

It is an amenable number.

201314400144541 is a deficient number, since it is larger than the sum of its proper divisors (1).

201314400144541 is an equidigital number, since it uses as much as digits as its factorization.

201314400144541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 201314400144541 its reverse (145441004413102), we get a palindrome (346755404557643).

The spelling of 201314400144541 in words is "two hundred one trillion, three hundred fourteen billion, four hundred million, one hundred forty-four thousand, five hundred forty-one".