1133011111313 has 2 divisors, whose sum is σ = 1133011111314. Its totient is φ = 1133011111312.

The previous prime is 1133011111301. The next prime is 1133011111321. The reversal of 1133011111313 is 3131111103311.

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., 953448743809 + 179562367504 = 976447^2 + 423748^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133011111313 - 2¹⁸ = 1133010849169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1133011111013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566505555656 + 566505555657.

It is an arithmetic number, because the mean of its divisors is an integer number (566505555657).

Almost surely, 2^{1133011111313} is an apocalyptic number.

It is an amenable number.

1133011111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133011111313 is an equidigital number, since it uses as much as digits as its factorization.

1133011111313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 1133011111313 its reverse (3131111103311), we get a palindrome (4264122214624).

The spelling of 1133011111313 in words is "one trillion, one hundred thirty-three billion, eleven million, one hundred eleven thousand, three hundred thirteen".