101461434013 has 2 divisors, whose sum is σ = 101461434014. Its totient is φ = 101461434012.

The previous prime is 101461434001. The next prime is 101461434049. The reversal of 101461434013 is 310434164101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101418045444 + 43388569 = 318462^2 + 6587^2 .

It is a cyclic number.

It is not a de Polignac number, because 101461434013 - 2⁵ = 101461433981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101461434073) 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, 50730717006 + 50730717007.

It is an arithmetic number, because the mean of its divisors is an integer number (50730717007).

Almost surely, 2^101461434013 is an apocalyptic number.

It is an amenable number.

101461434013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101461434013 is an equidigital number, since it uses as much as digits as its factorization.

101461434013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101461434013 its reverse (310434164101), we get a palindrome (411895598114).

The spelling of 101461434013 in words is "one hundred one billion, four hundred sixty-one million, four hundred thirty-four thousand, thirteen".