100311010611113 has 2 divisors, whose sum is σ = 100311010611114. Its totient is φ = 100311010611112.

The previous prime is 100311010611109. The next prime is 100311010611167. The reversal of 100311010611113 is 311116010113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93687454675984 + 6623555935129 = 9679228^2 + 2573627^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311010611113 - 2² = 100311010611109 is a prime.

It is not a weakly prime, because it can be changed into another prime (100311010611913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155505305556 + 50155505305557.

It is an arithmetic number, because the mean of its divisors is an integer number (50155505305557).

Almost surely, 2^{100311010611113} is an apocalyptic number.

It is an amenable number.

100311010611113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311010611113 is an equidigital number, since it uses as much as digits as its factorization.

100311010611113 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 20.

Adding to 100311010611113 its reverse (311116010113001), we get a palindrome (411427020724114).

The spelling of 100311010611113 in words is "one hundred trillion, three hundred eleven billion, ten million, six hundred eleven thousand, one hundred thirteen".