1133121331361 has 2 divisors, whose sum is σ = 1133121331362. Its totient is φ = 1133121331360.

The previous prime is 1133121331319. The next prime is 1133121331369. The reversal of 1133121331361 is 1631331213311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1047890032225 + 85231299136 = 1023665^2 + 291944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1133121331361 is a prime.

It is a super-2 number, since 2×1133121331361² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1133121331369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566560665680 + 566560665681.

It is an arithmetic number, because the mean of its divisors is an integer number (566560665681).

Almost surely, 2^{1133121331361} is an apocalyptic number.

It is an amenable number.

1133121331361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133121331361 is an equidigital number, since it uses as much as digits as its factorization.

1133121331361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 29.

Adding to 1133121331361 its reverse (1631331213311), we get a palindrome (2764452544672).

The spelling of 1133121331361 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred sixty-one".