113628101 has 2 divisors, whose sum is σ = 113628102. Its totient is φ = 113628100.

The previous prime is 113628083. The next prime is 113628103. The reversal of 113628101 is 101826311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77616100 + 36012001 = 8810^2 + 6001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113628101 is a prime.

It is a super-2 number, since 2×113628101² = 25822690673732402, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 113628103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113628103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56814050 + 56814051.

It is an arithmetic number, because the mean of its divisors is an integer number (56814051).

Almost surely, 2^113628101 is an apocalyptic number.

It is an amenable number.

113628101 is a deficient number, since it is larger than the sum of its proper divisors (1).

113628101 is an equidigital number, since it uses as much as digits as its factorization.

113628101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 113628101 is about 10659.6482587372. The cubic root of 113628101 is about 484.3529132128.

The spelling of 113628101 in words is "one hundred thirteen million, six hundred twenty-eight thousand, one hundred one".