100202013 has 12 divisors (see below), whose sum is σ = 149405568. Its totient is φ = 64646280.

The previous prime is 100202009. The next prime is 100202017. The reversal of 100202013 is 310202001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100202009) and next prime (100202017).

It is not a de Polignac number, because 100202013 - 2² = 100202009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201986 and 100202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179295 + ... + 179852.

It is an arithmetic number, because the mean of its divisors is an integer number (12450464).

Almost surely, 2^100202013 is an apocalyptic number.

It is an amenable number.

100202013 is a deficient number, since it is larger than the sum of its proper divisors (49203555).

100202013 is a wasteful number, since it uses less digits than its factorization.

100202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359184 (or 359181 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100202013 is about 10010.0955539895. The cubic root of 100202013 is about 464.4712268924.

Subtracting from 100202013 its product of nonzero digits (12), we obtain a palindrome (100202001).

Adding to 100202013 its reverse (310202001), we get a palindrome (410404014).

The spelling of 100202013 in words is "one hundred million, two hundred two thousand, thirteen".