1013111101 has 2 divisors, whose sum is σ = 1013111102. Its totient is φ = 1013111100.

The previous prime is 1013111063. The next prime is 1013111111. The reversal of 1013111101 is 1011113101.

It is an a-pointer prime, because the next prime (1013111111) can be obtained adding 1013111101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984327876 + 28783225 = 31374^2 + 5365^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013111101 - 2⁹ = 1013110589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506555550 + 506555551.

It is an arithmetic number, because the mean of its divisors is an integer number (506555551).

Almost surely, 2^1013111101 is an apocalyptic number.

It is an amenable number.

1013111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013111101 is an equidigital number, since it uses as much as digits as its factorization.

1013111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

The square root of 1013111101 is about 31829.4062307169. The cubic root of 1013111101 is about 1004.3514048119.

Adding to 1013111101 its reverse (1011113101), we get a palindrome (2024224202).

The spelling of 1013111101 in words is "one billion, thirteen million, one hundred eleven thousand, one hundred one".