100311021313 has 2 divisors, whose sum is σ = 100311021314. Its totient is φ = 100311021312.

The previous prime is 100311021311. The next prime is 100311021323. The reversal of 100311021313 is 313120113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92764103184 + 7546918129 = 304572^2 + 86873^2 .

It is an emirp because it is prime and its reverse (313120113001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100311021313 - 2¹ = 100311021311 is a prime.

Together with 100311021311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100311021311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155510656 + 50155510657.

It is an arithmetic number, because the mean of its divisors is an integer number (50155510657).

Almost surely, 2^100311021313 is an apocalyptic number.

It is an amenable number.

100311021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311021313 is an equidigital number, since it uses as much as digits as its factorization.

100311021313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100311021313 its reverse (313120113001), we get a palindrome (413431134314).

The spelling of 100311021313 in words is "one hundred billion, three hundred eleven million, twenty-one thousand, three hundred thirteen".