100301013013 has 8 divisors (see below), whose sum is σ = 106302331800. Its totient is φ = 94310945280.

The previous prime is 100301012963. The next prime is 100301013017. The reversal of 100301013013 is 310310103001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59149644849 + 41151368164 = 243207^2 + 202858^2 .

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 100301013013 - 2¹³ = 100301004821 is a prime.

It is a super-2 number, since 2×100301013013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100301012984 and 100301013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301013017) 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, 2794398 + ... + 2830063.

It is an arithmetic number, because the mean of its divisors is an integer number (13287791475).

Almost surely, 2^100301013013 is an apocalyptic number.

It is an amenable number.

100301013013 is a deficient number, since it is larger than the sum of its proper divisors (6001318787).

100301013013 is a wasteful number, since it uses less digits than its factorization.

100301013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625527.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100301013013 its reverse (310310103001), we get a palindrome (410611116014).

The spelling of 100301013013 in words is "one hundred billion, three hundred one million, thirteen thousand, thirteen".