100132314281 has 2 divisors, whose sum is σ = 100132314282. Its totient is φ = 100132314280.

The previous prime is 100132314239. The next prime is 100132314299. The reversal of 100132314281 is 182413231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97771909225 + 2360405056 = 312685^2 + 48584^2 .

It is a cyclic number.

It is not a de Polignac number, because 100132314281 - 2²⁶ = 100065205417 is a prime.

It is a super-2 number, since 2×100132314281² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100132314281.

It is not a weakly prime, because it can be changed into another prime (100132314781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066157140 + 50066157141.

It is an arithmetic number, because the mean of its divisors is an integer number (50066157141).

Almost surely, 2^100132314281 is an apocalyptic number.

It is an amenable number.

100132314281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132314281 is an equidigital number, since it uses as much as digits as its factorization.

100132314281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 100132314281 its reverse (182413231001), we get a palindrome (282545545282).

The spelling of 100132314281 in words is "one hundred billion, one hundred thirty-two million, three hundred fourteen thousand, two hundred eighty-one".