101580267113 has 8 divisors (see below), whose sum is σ = 111721669248. Its totient is φ = 91771370064.

The previous prime is 101580267109. The next prime is 101580267133. The reversal of 101580267113 is 311762085101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101580267113 - 2² = 101580267109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101580267133) 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 in 7 ways as a sum of consecutive naturals, for example, 83125631 + ... + 83126852.

It is an arithmetic number, because the mean of its divisors is an integer number (13965208656).

Almost surely, 2^101580267113 is an apocalyptic number.

101580267113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101580267113 is a deficient number, since it is larger than the sum of its proper divisors (10141402135).

101580267113 is a wasteful number, since it uses less digits than its factorization.

101580267113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166252543.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 101580267113 in words is "one hundred one billion, five hundred eighty million, two hundred sixty-seven thousand, one hundred thirteen".