201401312310113 has 2 divisors, whose sum is σ = 201401312310114. Its totient is φ = 201401312310112.

The previous prime is 201401312310103. The next prime is 201401312310127. The reversal of 201401312310113 is 311013213104102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194600602804624 + 6800709505489 = 13949932^2 + 2607817^2 .

It is a cyclic number.

It is not a de Polignac number, because 201401312310113 - 2⁴⁶ = 131032568132449 is a prime.

It is not a weakly prime, because it can be changed into another prime (201401312310103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100700656155056 + 100700656155057.

It is an arithmetic number, because the mean of its divisors is an integer number (100700656155057).

Almost surely, 2^{201401312310113} is an apocalyptic number.

It is an amenable number.

201401312310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201401312310113 is an equidigital number, since it uses as much as digits as its factorization.

201401312310113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 201401312310113 its reverse (311013213104102), we get a palindrome (512414525414215).

The spelling of 201401312310113 in words is "two hundred one trillion, four hundred one billion, three hundred twelve million, three hundred ten thousand, one hundred thirteen".