100413132341 has 2 divisors, whose sum is σ = 100413132342. Its totient is φ = 100413132340.

The previous prime is 100413132293. The next prime is 100413132343. The reversal of 100413132341 is 143231314001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92869515025 + 7543617316 = 304745^2 + 86854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100413132341 is a prime.

Together with 100413132343, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100413132343) 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, 50206566170 + 50206566171.

It is an arithmetic number, because the mean of its divisors is an integer number (50206566171).

Almost surely, 2^100413132341 is an apocalyptic number.

It is an amenable number.

100413132341 is a deficient number, since it is larger than the sum of its proper divisors (1).

100413132341 is an equidigital number, since it uses as much as digits as its factorization.

100413132341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 100413132341 its reverse (143231314001), we get a palindrome (243644446342).

The spelling of 100413132341 in words is "one hundred billion, four hundred thirteen million, one hundred thirty-two thousand, three hundred forty-one".