40100113 has 2 divisors, whose sum is σ = 40100114. Its totient is φ = 40100112.

The previous prime is 40100087. The next prime is 40100129. The reversal of 40100113 is 31100104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39337984 + 762129 = 6272^2 + 873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40100113 is a prime.

It is a super-2 number, since 2×40100113² = 3216038125225538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40100113.

It is not a weakly prime, because it can be changed into another prime (40100213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20050056 + 20050057.

It is an arithmetic number, because the mean of its divisors is an integer number (20050057).

Almost surely, 2^40100113 is an apocalyptic number.

It is an amenable number.

40100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

40100113 is an equidigital number, since it uses as much as digits as its factorization.

40100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 40100113 is about 6332.4650018772. The cubic root of 40100113 is about 342.2802696686.

Adding to 40100113 its reverse (31100104), we get a palindrome (71200217).

Subtracting from 40100113 its reverse (31100104), we obtain a palindrome (9000009).

The spelling of 40100113 in words is "forty million, one hundred thousand, one hundred thirteen".