100141013 has 16 divisors (see below), whose sum is σ = 115920000. Its totient is φ = 84739392.

The previous prime is 100141007. The next prime is 100141079. The reversal of 100141013 is 310141001.

It is a cyclic number.

It is not a de Polignac number, because 100141013 - 2¹⁶ = 100075477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100140985 and 100141003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100141313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286763 + ... + 287111.

It is an arithmetic number, because the mean of its divisors is an integer number (7245000).

Almost surely, 2^100141013 is an apocalyptic number.

It is an amenable number.

100141013 is a deficient number, since it is larger than the sum of its proper divisors (15778987).

100141013 is a wasteful number, since it uses less digits than its factorization.

100141013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100141013 is about 10007.0481661677. The cubic root of 100141013 is about 464.3769556787.

Subtracting from 100141013 its product of nonzero digits (12), we obtain a palindrome (100141001).

Adding to 100141013 its reverse (310141001), we get a palindrome (410282014).

The spelling of 100141013 in words is "one hundred million, one hundred forty-one thousand, thirteen".