100331113 has 2 divisors, whose sum is σ = 100331114. Its totient is φ = 100331112.

The previous prime is 100331069. The next prime is 100331123. The reversal of 100331113 is 311133001.

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., 96766569 + 3564544 = 9837^2 + 1888^2 .

It is a cyclic number.

It is not a de Polignac number, because 100331113 - 2¹³ = 100322921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100331093 and 100331102.

It is not a weakly prime, because it can be changed into another prime (100331123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165556 + 50165557.

It is an arithmetic number, because the mean of its divisors is an integer number (50165557).

Almost surely, 2^100331113 is an apocalyptic number.

It is an amenable number.

100331113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331113 is an equidigital number, since it uses as much as digits as its factorization.

100331113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 100331113 is about 10016.5419681645. The cubic root of 100331113 is about 464.6706157732.

Adding to 100331113 its reverse (311133001), we get a palindrome (411464114).

The spelling of 100331113 in words is "one hundred million, three hundred thirty-one thousand, one hundred thirteen".