100013114 has 16 divisors (see below), whose sum is σ = 152083008. Its totient is φ = 49323072.

The previous prime is 100013113. The next prime is 100013143. The reversal of 100013114 is 411310001.

It is a junction number, because it is equal to n+sod(n) for n = 100013095 and 100013104.

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 7 ways as a sum of consecutive naturals, for example, 55394 + ... + 57170.

It is an arithmetic number, because the mean of its divisors is an integer number (9505188).

Almost surely, 2^100013114 is an apocalyptic number.

100013114 is a deficient number, since it is larger than the sum of its proper divisors (52069894).

100013114 is a wasteful number, since it uses less digits than its factorization.

100013114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149.

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

The square root of 100013114 is about 10000.6556785043. The cubic root of 100013114 is about 464.1791724064.

Adding to 100013114 its reverse (411310001), we get a palindrome (511323115).

The spelling of 100013114 in words is "one hundred million, thirteen thousand, one hundred fourteen".