1123001131321 has 2 divisors, whose sum is σ = 1123001131322. Its totient is φ = 1123001131320.

The previous prime is 1123001131303. The next prime is 1123001131333. The reversal of 1123001131321 is 1231311003211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1122675870096 + 325261225 = 1059564^2 + 18035^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123001131321 - 2⁷ = 1123001131193 is a prime.

It is a super-2 number, since 2×1123001131321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1123001131361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561500565660 + 561500565661.

It is an arithmetic number, because the mean of its divisors is an integer number (561500565661).

Almost surely, 2^{1123001131321} is an apocalyptic number.

It is an amenable number.

1123001131321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123001131321 is an equidigital number, since it uses as much as digits as its factorization.

1123001131321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1123001131321 its reverse (1231311003211), we get a palindrome (2354312134532).

The spelling of 1123001131321 in words is "one trillion, one hundred twenty-three billion, one million, one hundred thirty-one thousand, three hundred twenty-one".