301100311200013 has 8 divisors (see below), whose sum is σ = 333025708022168. Its totient is φ = 270426890723904.

The previous prime is 301100311200011. The next prime is 301100311200037. The reversal of 301100311200013 is 310002113001103.

It can be written as a sum of positive squares in 4 ways, for example, as 61500932116009 + 239599379084004 = 7842253^2 + 15478998^2 .

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 301100311200013 - 2¹ = 301100311200011 is a prime.

It is a super-3 number, since 3×301100311200013³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 301100311200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301100311200011) 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, 312994086006 + ... + 312994086967.

It is an arithmetic number, because the mean of its divisors is an integer number (41628213502771).

Almost surely, 2^{301100311200013} is an apocalyptic number.

It is an amenable number.

301100311200013 is a deficient number, since it is larger than the sum of its proper divisors (31925396822155).

301100311200013 is a wasteful number, since it uses less digits than its factorization.

301100311200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625988173023.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 301100311200013 its reverse (310002113001103), we get a palindrome (611102424201116).

The spelling of 301100311200013 in words is "three hundred one trillion, one hundred billion, three hundred eleven million, two hundred thousand, thirteen".