101513309265 has 64 divisors (see below), whose sum is σ = 181608894720. Its totient is φ = 53799137280.

The previous prime is 101513309257. The next prime is 101513309333. The reversal of 101513309265 is 562903315101.

It is a happy number.

101513309265 is a `hidden beast` number, since 10 + 1 + 51 + 330 + 9 + 265 = 666.

It is not a de Polignac number, because 101513309265 - 2³ = 101513309257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17679295 + ... + 17685035.

It is an arithmetic number, because the mean of its divisors is an integer number (2837638980).

Almost surely, 2^101513309265 is an apocalyptic number.

101513309265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101513309265 is a deficient number, since it is larger than the sum of its proper divisors (80095585455).

101513309265 is a wasteful number, since it uses less digits than its factorization.

101513309265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 101513309265 in words is "one hundred one billion, five hundred thirteen million, three hundred nine thousand, two hundred sixty-five".