100301000013 has 6 divisors (see below), whose sum is σ = 144879222254. Its totient is φ = 66867333336.

The previous prime is 100301000003. The next prime is 100301000069. The reversal of 100301000013 is 310000103001.

It can be written as a sum of positive squares in only one way, i.e., 90457780644 + 9843219369 = 300762^2 + 99213^2 .

It is not a de Polignac number, because 100301000013 - 2¹² = 100300995917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11144555557 = 100301000013 / (1 + 0 + 0 + 3 + 0 + 1 + 0 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100300999959 and 100301000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301000003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5572277770 + ... + 5572277787.

Almost surely, 2^100301000013 is an apocalyptic number.

It is an amenable number.

100301000013 is a deficient number, since it is larger than the sum of its proper divisors (44578222241).

100301000013 is a wasteful number, since it uses less digits than its factorization.

100301000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144555563 (or 11144555560 counting only the distinct ones).

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

Adding to 100301000013 its reverse (310000103001), we get a palindrome (410301103014).

The spelling of 100301000013 in words is "one hundred billion, three hundred one million, thirteen", and thus it is an aban number.