1123101013193 has 2 divisors, whose sum is σ = 1123101013194. Its totient is φ = 1123101013192.

The previous prime is 1123101013091. The next prime is 1123101013207. The reversal of 1123101013193 is 3913101013211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1095940984384 + 27160028809 = 1046872^2 + 164803^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123101013193 - 2¹⁰ = 1123101012169 is a prime.

It is a super-2 number, since 2×1123101013193² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1123101013393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561550506596 + 561550506597.

It is an arithmetic number, because the mean of its divisors is an integer number (561550506597).

Almost surely, 2^{1123101013193} is an apocalyptic number.

It is an amenable number.

1123101013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123101013193 is an equidigital number, since it uses as much as digits as its factorization.

1123101013193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 1123101013193 in words is "one trillion, one hundred twenty-three billion, one hundred one million, thirteen thousand, one hundred ninety-three".