101404033040113 has 2 divisors, whose sum is σ = 101404033040114. Its totient is φ = 101404033040112.

The previous prime is 101404033040087. The next prime is 101404033040147. The reversal of 101404033040113 is 311040330404101.

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., 100698957102769 + 705075937344 = 10034887^2 + 839688^2 .

It is a cyclic number.

It is not a de Polignac number, because 101404033040113 - 2²¹ = 101404030942961 is a prime.

It is not a weakly prime, because it can be changed into another prime (101404033047113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702016520056 + 50702016520057.

It is an arithmetic number, because the mean of its divisors is an integer number (50702016520057).

Almost surely, 2^{101404033040113} is an apocalyptic number.

It is an amenable number.

101404033040113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101404033040113 is an equidigital number, since it uses as much as digits as its factorization.

101404033040113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101404033040113 its reverse (311040330404101), we get a palindrome (412444363444214).

The spelling of 101404033040113 in words is "one hundred one trillion, four hundred four billion, thirty-three million, forty thousand, one hundred thirteen".