100113141 has 8 divisors (see below), whose sum is σ = 134665920. Its totient is φ = 66151232.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113141 is 141311001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100113141 - 2¹⁵ = 100080373 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147321 + ... + 147998.

It is an arithmetic number, because the mean of its divisors is an integer number (16833240).

Almost surely, 2^100113141 is an apocalyptic number.

It is an amenable number.

100113141 is a deficient number, since it is larger than the sum of its proper divisors (34552779).

100113141 is a wasteful number, since it uses less digits than its factorization.

100113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295435.

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

The square root of 100113141 is about 10005.6554507938. The cubic root of 100113141 is about 464.3338687185. Note that the first 3 decimals are identical.

Adding to 100113141 its reverse (141311001), we get a palindrome (241424142).

The spelling of 100113141 in words is "one hundred million, one hundred thirteen thousand, one hundred forty-one".