100738275687713 has 4 divisors (see below), whose sum is σ = 100740071851200. Its totient is φ = 100736479524228.

The previous prime is 100738275687691. The next prime is 100738275687773. The reversal of 100738275687713 is 317786572837001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100738275687713 - 2¹⁰ = 100738275686689 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100738275687713.

It is not an unprimeable number, because it can be changed into a prime (100738275687773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 897997613 + ... + 898109786.

It is an arithmetic number, because the mean of its divisors is an integer number (25185017962800).

Almost surely, 2^{100738275687713} is an apocalyptic number.

It is an amenable number.

100738275687713 is a deficient number, since it is larger than the sum of its proper divisors (1796163487).

100738275687713 is an equidigital number, since it uses as much as digits as its factorization.

100738275687713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796163486.

The product of its (nonzero) digits is 82978560, while the sum is 65.

The spelling of 100738275687713 in words is "one hundred trillion, seven hundred thirty-eight billion, two hundred seventy-five million, six hundred eighty-seven thousand, seven hundred thirteen".