1020331121 has 2 divisors, whose sum is σ = 1020331122. Its totient is φ = 1020331120.

The previous prime is 1020331111. The next prime is 1020331139. The reversal of 1020331121 is 1211330201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 950858896 + 69472225 = 30836^2 + 8335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020331121 is a prime.

It is a super-2 number, since 2×1020331121² = 2082151192962233282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020331096 and 1020331105.

It is not a weakly prime, because it can be changed into another prime (1020331111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510165560 + 510165561.

It is an arithmetic number, because the mean of its divisors is an integer number (510165561).

Almost surely, 2^1020331121 is an apocalyptic number.

It is an amenable number.

1020331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020331121 is an equidigital number, since it uses as much as digits as its factorization.

1020331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1020331121 is about 31942.6223250377. The cubic root of 1020331121 is about 1006.7316238925.

Adding to 1020331121 its reverse (1211330201), we get a palindrome (2231661322).

The spelling of 1020331121 in words is "one billion, twenty million, three hundred thirty-one thousand, one hundred twenty-one".