101541540013 has 2 divisors, whose sum is σ = 101541540014. Its totient is φ = 101541540012.

The previous prime is 101541539993. The next prime is 101541540049. The reversal of 101541540013 is 310045145101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84644919844 + 16896620169 = 290938^2 + 129987^2 .

It is a cyclic number.

It is not a de Polignac number, because 101541540013 - 2⁹ = 101541539501 is a prime.

It is a super-5 number, since 5×101541540013⁵ (a number of 56 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101541540013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101541540313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770770006 + 50770770007.

It is an arithmetic number, because the mean of its divisors is an integer number (50770770007).

Almost surely, 2^101541540013 is an apocalyptic number.

It is an amenable number.

101541540013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101541540013 is an equidigital number, since it uses as much as digits as its factorization.

101541540013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 101541540013 its reverse (310045145101), we get a palindrome (411586685114).

The spelling of 101541540013 in words is "one hundred one billion, five hundred forty-one million, five hundred forty thousand, thirteen".