10132022011313 has 2 divisors, whose sum is σ = 10132022011314. Its totient is φ = 10132022011312.

The previous prime is 10132022011301. The next prime is 10132022011327. The reversal of 10132022011313 is 31311022023101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5818790855089 + 4313231156224 = 2412217^2 + 2076832^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132022011313 - 2²⁰ = 10132020962737 is a prime.

It is a super-2 number, since 2×10132022011313² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10132022011333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066011005656 + 5066011005657.

It is an arithmetic number, because the mean of its divisors is an integer number (5066011005657).

Almost surely, 2^{10132022011313} is an apocalyptic number.

It is an amenable number.

10132022011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132022011313 is an equidigital number, since it uses as much as digits as its factorization.

10132022011313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10132022011313 its reverse (31311022023101), we get a palindrome (41443044034414).

The spelling of 10132022011313 in words is "ten trillion, one hundred thirty-two billion, twenty-two million, eleven thousand, three hundred thirteen".