100013141 has 16 divisors (see below), whose sum is σ = 106814400. Its totient is φ = 93477888.

The previous prime is 100013113. The next prime is 100013143. The reversal of 100013141 is 141310001.

It is a cyclic number.

It is not a de Polignac number, because 100013141 - 2¹⁸ = 99750997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013143) 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, 173045 + ... + 173621.

It is an arithmetic number, because the mean of its divisors is an integer number (6675900).

Almost surely, 2^100013141 is an apocalyptic number.

It is an amenable number.

100013141 is a deficient number, since it is larger than the sum of its proper divisors (6801259).

100013141 is a wasteful number, since it uses less digits than its factorization.

100013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788.

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

The square root of 100013141 is about 10000.6570284157. The cubic root of 100013141 is about 464.1792141770.

Adding to 100013141 its reverse (141310001), we get a palindrome (241323142).

It can be divided in two parts, 1000 and 13141, that added together give a palindrome (14141).

The spelling of 100013141 in words is "one hundred million, thirteen thousand, one hundred forty-one".