1133030101001 has 2 divisors, whose sum is σ = 1133030101002. Its totient is φ = 1133030101000.

The previous prime is 1133030100991. The next prime is 1133030101051. The reversal of 1133030101001 is 1001010303311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 822329766976 + 310700334025 = 906824^2 + 557405^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133030101001 - 2¹⁴ = 1133030084617 is a prime.

It is a super-2 number, since 2×1133030101001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1133030101051) 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, 566515050500 + 566515050501.

It is an arithmetic number, because the mean of its divisors is an integer number (566515050501).

Almost surely, 2^{1133030101001} is an apocalyptic number.

It is an amenable number.

1133030101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133030101001 is an equidigital number, since it uses as much as digits as its factorization.

1133030101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1133030101001 its reverse (1001010303311), we get a palindrome (2134040404312).

The spelling of 1133030101001 in words is "one trillion, one hundred thirty-three billion, thirty million, one hundred one thousand, one".