1201113312401 has 2 divisors, whose sum is σ = 1201113312402. Its totient is φ = 1201113312400.

The previous prime is 1201113312389. The next prime is 1201113312419. The reversal of 1201113312401 is 1042133111021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1019978803600 + 181134508801 = 1009940^2 + 425599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201113312401 - 2³⁸ = 926235405457 is a prime.

It is not a weakly prime, because it can be changed into another prime (1201113312481) 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, 600556656200 + 600556656201.

It is an arithmetic number, because the mean of its divisors is an integer number (600556656201).

Almost surely, 2^{1201113312401} is an apocalyptic number.

It is an amenable number.

1201113312401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201113312401 is an equidigital number, since it uses as much as digits as its factorization.

1201113312401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1201113312401 its reverse (1042133111021), we get a palindrome (2243246423422).

The spelling of 1201113312401 in words is "one trillion, two hundred one billion, one hundred thirteen million, three hundred twelve thousand, four hundred one".