1321313101 has 2 divisors, whose sum is σ = 1321313102. Its totient is φ = 1321313100.

The previous prime is 1321313089. The next prime is 1321313113. The reversal of 1321313101 is 1013131231.

It is a balanced prime because it is at equal distance from previous prime (1321313089) and next prime (1321313113).

It can be written as a sum of positive squares in only one way, i.e., 799419076 + 521894025 = 28274^2 + 22845^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321313101 - 2⁵ = 1321313069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1321313801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660656550 + 660656551.

It is an arithmetic number, because the mean of its divisors is an integer number (660656551).

Almost surely, 2^1321313101 is an apocalyptic number.

It is an amenable number.

1321313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321313101 is an equidigital number, since it uses as much as digits as its factorization.

1321313101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1321313101 is about 36349.8707150383. The cubic root of 1321313101 is about 1097.3249326145.

Adding to 1321313101 its reverse (1013131231), we get a palindrome (2334444332).

The spelling of 1321313101 in words is "one billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred one".