100113135527 has 2 divisors, whose sum is σ = 100113135528. Its totient is φ = 100113135526.

The previous prime is 100113135491. The next prime is 100113135539. The reversal of 100113135527 is 725531311001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100113135527 - 2⁸ = 100113135271 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100113135527.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113135547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056567763 + 50056567764.

It is an arithmetic number, because the mean of its divisors is an integer number (50056567764).

Almost surely, 2^100113135527 is an apocalyptic number.

100113135527 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113135527 is an equidigital number, since it uses as much as digits as its factorization.

100113135527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 29.

Adding to 100113135527 its reverse (725531311001), we get a palindrome (825644446528).

The spelling of 100113135527 in words is "one hundred billion, one hundred thirteen million, one hundred thirty-five thousand, five hundred twenty-seven".