1100113112257 has 2 divisors, whose sum is σ = 1100113112258. Its totient is φ = 1100113112256.

The previous prime is 1100113112213. The next prime is 1100113112269. The reversal of 1100113112257 is 7522113110011.

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., 915420314176 + 184692798081 = 956776^2 + 429759^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100113112257 - 2¹⁹ = 1100112587969 is a prime.

It is a super-3 number, since 3×1100113112257³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1100113812257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550056556128 + 550056556129.

It is an arithmetic number, because the mean of its divisors is an integer number (550056556129).

Almost surely, 2^{1100113112257} is an apocalyptic number.

It is an amenable number.

1100113112257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100113112257 is an equidigital number, since it uses as much as digits as its factorization.

1100113112257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 25.

Adding to 1100113112257 its reverse (7522113110011), we get a palindrome (8622226222268).

The spelling of 1100113112257 in words is "one trillion, one hundred billion, one hundred thirteen million, one hundred twelve thousand, two hundred fifty-seven".