100101111013 has 16 divisors (see below), whose sum is σ = 107571024000. Its totient is φ = 92869277760.

The previous prime is 100101111001. The next prime is 100101111029. The reversal of 100101111013 is 310111101001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101111013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48006 + ... + 450007.

It is an arithmetic number, because the mean of its divisors is an integer number (6723189000).

Almost surely, 2^100101111013 is an apocalyptic number.

It is an amenable number.

100101111013 is a deficient number, since it is larger than the sum of its proper divisors (7469912987).

100101111013 is a wasteful number, since it uses less digits than its factorization.

100101111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498252.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100101111013 its reverse (310111101001), we get a palindrome (410212212014).

The spelling of 100101111013 in words is "one hundred billion, one hundred one million, one hundred eleven thousand, thirteen".