101304322132313 has 12 divisors (see below), whose sum is σ = 109378096761132. Its totient is φ = 93782207550720.

The previous prime is 101304322132253. The next prime is 101304322132423. The reversal of 101304322132313 is 313231223403101.

It can be written as a sum of positive squares in 6 ways, for example, as 12963722667289 + 88340599465024 = 3600517^2 + 9398968^2 .

It is not a de Polignac number, because 101304322132313 - 2¹⁴ = 101304322115929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101304322122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2873211770 + ... + 2873247027.

It is an arithmetic number, because the mean of its divisors is an integer number (9114841396761).

Almost surely, 2^{101304322132313} is an apocalyptic number.

It is an amenable number.

101304322132313 is a deficient number, since it is larger than the sum of its proper divisors (8073774628819).

101304322132313 is an equidigital number, since it uses as much as digits as its factorization.

101304322132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746458892 (or 5746458875 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 101304322132313 its reverse (313231223403101), we get a palindrome (414535545535414).

The spelling of 101304322132313 in words is "one hundred one trillion, three hundred four billion, three hundred twenty-two million, one hundred thirty-two thousand, three hundred thirteen".