100113011 has 2 divisors, whose sum is σ = 100113012. Its totient is φ = 100113010.

The previous prime is 100113001. The next prime is 100113019. The reversal of 100113011 is 110311001.

It is an a-pointer prime, because the next prime (100113019) can be obtained adding 100113011 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113011 is a prime.

It is a super-2 number, since 2×100113011² = 20045229942972242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100113011.

It is not a weakly prime, because it can be changed into another prime (100113019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056505 + 50056506.

It is an arithmetic number, because the mean of its divisors is an integer number (50056506).

Almost surely, 2^100113011 is an apocalyptic number.

100113011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113011 is an equidigital number, since it uses as much as digits as its factorization.

100113011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 100113011 is about 10005.6489544657. The cubic root of 100113011 is about 464.3336677345. Note that the first 3 decimals are identical.

Adding to 100113011 its reverse (110311001), we get a palindrome (210424012).

The spelling of 100113011 in words is "one hundred million, one hundred thirteen thousand, eleven".