1011332331101 has 2 divisors, whose sum is σ = 1011332331102. Its totient is φ = 1011332331100.

The previous prime is 1011332331067. The next prime is 1011332331187.

1011332331101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 766896027076 + 244436304025 = 875726^2 + 494405^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1011332331101 - 2²⁶ = 1011265222237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011332331301) 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, 505666165550 + 505666165551.

It is an arithmetic number, because the mean of its divisors is an integer number (505666165551).

Almost surely, 2^{1011332331101} is an apocalyptic number.

It is an amenable number.

1011332331101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011332331101 is an equidigital number, since it uses as much as digits as its factorization.

1011332331101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 1011332331101 in words is "one trillion, eleven billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred one".