100013011013 has 8 divisors (see below), whose sum is σ = 100172648160. Its totient is φ = 99853423600.

The previous prime is 100013011001. The next prime is 100013011057. The reversal of 100013011013 is 310110310001.

It is a happy number.

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 100013011013 - 2⁶ = 100013010949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013010985 and 100013011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013041013) 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, 7184606 + ... + 7198512.

It is an arithmetic number, because the mean of its divisors is an integer number (12521581020).

Almost surely, 2^100013011013 is an apocalyptic number.

It is an amenable number.

100013011013 is a deficient number, since it is larger than the sum of its proper divisors (159637147).

100013011013 is a wasteful number, since it uses less digits than its factorization.

100013011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24867.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100013011013 its reverse (310110310001), we get a palindrome (410123321014).

The spelling of 100013011013 in words is "one hundred billion, thirteen million, eleven thousand, thirteen".