1132113031001 has 2 divisors, whose sum is σ = 1132113031002. Its totient is φ = 1132113031000.

The previous prime is 1132113030949. The next prime is 1132113031003. The reversal of 1132113031001 is 1001303112311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 876760686025 + 255352344976 = 936355^2 + 505324^2 .

It is an emirp because it is prime and its reverse (1001303112311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1132113031001 - 2³⁴ = 1114933161817 is a prime.

Together with 1132113031003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1132113031003) 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, 566056515500 + 566056515501.

It is an arithmetic number, because the mean of its divisors is an integer number (566056515501).

Almost surely, 2^{1132113031001} is an apocalyptic number.

It is an amenable number.

1132113031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1132113031001 is an equidigital number, since it uses as much as digits as its factorization.

1132113031001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1132113031001 its reverse (1001303112311), we get a palindrome (2133416143312).

The spelling of 1132113031001 in words is "one trillion, one hundred thirty-two billion, one hundred thirteen million, thirty-one thousand, one".