101542516013 has 2 divisors, whose sum is σ = 101542516014. Its totient is φ = 101542516012.

The previous prime is 101542516007. The next prime is 101542516021. The reversal of 101542516013 is 310615245101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61703553604 + 39838962409 = 248402^2 + 199597^2 .

It is a cyclic number.

It is not a de Polignac number, because 101542516013 - 2⁸ = 101542515757 is a prime.

It is a super-2 number, since 2×101542516013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101542516073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50771258006 + 50771258007.

It is an arithmetic number, because the mean of its divisors is an integer number (50771258007).

Almost surely, 2^101542516013 is an apocalyptic number.

It is an amenable number.

101542516013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101542516013 is an equidigital number, since it uses as much as digits as its factorization.

101542516013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 101542516013 in words is "one hundred one billion, five hundred forty-two million, five hundred sixteen thousand, thirteen".