10113431101 has 2 divisors, whose sum is σ = 10113431102. Its totient is φ = 10113431100.

The previous prime is 10113431077. The next prime is 10113431117.

10113431101 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (10113431117) can be obtained adding 10113431101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9875191876 + 238239225 = 99374^2 + 15435^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10113431101 - 2⁷ = 10113430973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113431161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056715550 + 5056715551.

It is an arithmetic number, because the mean of its divisors is an integer number (5056715551).

Almost surely, 2^10113431101 is an apocalyptic number.

It is an amenable number.

10113431101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113431101 is an equidigital number, since it uses as much as digits as its factorization.

10113431101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10113431101 in words is "ten billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred one".