113001111110101 has 2 divisors, whose sum is σ = 113001111110102. Its totient is φ = 113001111110100.

The previous prime is 113001111110057. The next prime is 113001111110113. The reversal of 113001111110101 is 101011111100311.

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., 107334759342001 + 5666351768100 = 10360249^2 + 2380410^2 .

It is a cyclic number.

It is not a de Polignac number, because 113001111110101 - 2⁴³ = 104205018087893 is a prime.

It is a super-2 number, since 2×113001111110101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113001111110141) 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, 56500555555050 + 56500555555051.

It is an arithmetic number, because the mean of its divisors is an integer number (56500555555051).

Almost surely, 2^{113001111110101} is an apocalyptic number.

It is an amenable number.

113001111110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

113001111110101 is an equidigital number, since it uses as much as digits as its factorization.

113001111110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 113001111110101 its reverse (101011111100311), we get a palindrome (214012222210412).

The spelling of 113001111110101 in words is "one hundred thirteen trillion, one billion, one hundred eleven million, one hundred ten thousand, one hundred one".