101313541205525 has 24 divisors (see below), whose sum is σ = 137051024553984. Its totient is φ = 73681804310400.

The previous prime is 101313541205497. The next prime is 101313541205531. The reversal of 101313541205525 is 525502145313101.

It is not a de Polignac number, because 101313541205525 - 2¹⁴ = 101313541189141 is a prime.

It is a super-2 number, since 2×101313541205525² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25084169 + ... + 28841681.

It is an arithmetic number, because the mean of its divisors is an integer number (5710459356416).

Almost surely, 2^{101313541205525} is an apocalyptic number.

It is an amenable number.

101313541205525 is a deficient number, since it is larger than the sum of its proper divisors (35737483348459).

101313541205525 is a wasteful number, since it uses less digits than its factorization.

101313541205525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855581 (or 3855576 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

Adding to 101313541205525 its reverse (525502145313101), we get a palindrome (626815686518626).

The spelling of 101313541205525 in words is "one hundred one trillion, three hundred thirteen billion, five hundred forty-one million, two hundred five thousand, five hundred twenty-five".