1031122132133 has 2 divisors, whose sum is σ = 1031122132134. Its totient is φ = 1031122132132.

The previous prime is 1031122132099. The next prime is 1031122132147. The reversal of 1031122132133 is 3312312211301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 990227990404 + 40894141729 = 995102^2 + 202223^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031122132133 - 2²⁶ = 1031055023269 is a prime.

It is a super-2 number, since 2×1031122132133² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031122132099 and 1031122132108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031122132193) 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, 515561066066 + 515561066067.

It is an arithmetic number, because the mean of its divisors is an integer number (515561066067).

Almost surely, 2^{1031122132133} is an apocalyptic number.

It is an amenable number.

1031122132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031122132133 is an equidigital number, since it uses as much as digits as its factorization.

1031122132133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1031122132133 its reverse (3312312211301), we get a palindrome (4343434343434).

The spelling of 1031122132133 in words is "one trillion, thirty-one billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty-three".