100313041349 has 2 divisors, whose sum is σ = 100313041350. Its totient is φ = 100313041348.

The previous prime is 100313041303. The next prime is 100313041351. The reversal of 100313041349 is 943140313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85506532225 + 14806509124 = 292415^2 + 121682^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313041349 - 2⁸ = 100313041093 is a prime.

Together with 100313041351, 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 (100313040349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156520674 + 50156520675.

It is an arithmetic number, because the mean of its divisors is an integer number (50156520675).

Almost surely, 2^100313041349 is an apocalyptic number.

It is an amenable number.

100313041349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313041349 is an equidigital number, since it uses as much as digits as its factorization.

100313041349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 100313041349 in words is "one hundred billion, three hundred thirteen million, forty-one thousand, three hundred forty-nine".