1013132321 has 2 divisors, whose sum is σ = 1013132322. Its totient is φ = 1013132320.

The previous prime is 1013132249. The next prime is 1013132327. The reversal of 1013132321 is 1232313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 890365921 + 122766400 = 29839^2 + 11080^2 .

It is an emirp because it is prime and its reverse (1232313101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013132321 - 2¹⁰ = 1013131297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013132321.

It is not a weakly prime, because it can be changed into another prime (1013132327) 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, 506566160 + 506566161.

It is an arithmetic number, because the mean of its divisors is an integer number (506566161).

Almost surely, 2^1013132321 is an apocalyptic number.

It is an amenable number.

1013132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013132321 is an equidigital number, since it uses as much as digits as its factorization.

1013132321 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 17.

The square root of 1013132321 is about 31829.7395685230. The cubic root of 1013132321 is about 1004.3584169379.

Adding to 1013132321 its reverse (1232313101), we get a palindrome (2245445422).

The spelling of 1013132321 in words is "one billion, thirteen million, one hundred thirty-two thousand, three hundred twenty-one".