1331013121 has 2 divisors, whose sum is σ = 1331013122. Its totient is φ = 1331013120.

The previous prime is 1331013097. The next prime is 1331013133. The reversal of 1331013121 is 1213101331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 844193025 + 486820096 = 29055^2 + 22064^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331013121 - 2²¹ = 1328915969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331013095 and 1331013104.

It is not a weakly prime, because it can be changed into another prime (1331013191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665506560 + 665506561.

It is an arithmetic number, because the mean of its divisors is an integer number (665506561).

Almost surely, 2^1331013121 is an apocalyptic number.

It is an amenable number.

1331013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331013121 is an equidigital number, since it uses as much as digits as its factorization.

1331013121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1331013121 is about 36483.0525175731. The cubic root of 1331013121 is about 1100.0036145887.

Adding to 1331013121 its reverse (1213101331), we get a palindrome (2544114452).

The spelling of 1331013121 in words is "one billion, three hundred thirty-one million, thirteen thousand, one hundred twenty-one".