100101111001013 has 8 divisors (see below), whose sum is σ = 100315912503168. Its totient is φ = 99886539113104.

The previous prime is 100101111000977. The next prime is 100101111001043. The reversal of 100101111001013 is 310100111101001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101111001013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101111000985 and 100101111001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111001043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56530706 + ... + 58274547.

It is an arithmetic number, because the mean of its divisors is an integer number (12539489062896).

Almost surely, 2^{100101111001013} is an apocalyptic number.

It is an amenable number.

100101111001013 is a deficient number, since it is larger than the sum of its proper divisors (214801502155).

100101111001013 is an equidigital number, since it uses as much as digits as its factorization.

100101111001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114807123.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 100101111001013 its reverse (310100111101001), we get a palindrome (410201222102014).

The spelling of 100101111001013 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one thousand, thirteen".