100013013 has 6 divisors (see below), whose sum is σ = 144463254. Its totient is φ = 66675336.

The previous prime is 100012987. The next prime is 100013021. The reversal of 100013013 is 310310001.

It can be written as a sum of positive squares in only one way, i.e., 76422564 + 23590449 = 8742^2 + 4857^2 .

It is not a de Polignac number, because 100013013 - 2¹⁸ = 99750869 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: 11112557 = 100013013 / (1 + 0 + 0 + 0 + 1 + 3 + 0 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100012986 and 100013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013113) 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, 5556270 + ... + 5556287.

It is an arithmetic number, because the mean of its divisors is an integer number (24077209).

Almost surely, 2^100013013 is an apocalyptic number.

It is an amenable number.

100013013 is a deficient number, since it is larger than the sum of its proper divisors (44450241).

100013013 is a wasteful number, since it uses less digits than its factorization.

100013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112563 (or 11112560 counting only the distinct ones).

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

The square root of 100013013 is about 10000.6506288341. The cubic root of 100013013 is about 464.1790161532.

Adding to 100013013 its reverse (310310001), we get a palindrome (410323014).

The spelling of 100013013 in words is "one hundred million, thirteen thousand, thirteen".