13123011101 has 2 divisors, whose sum is σ = 13123011102. Its totient is φ = 13123011100.

The previous prime is 13123011091. The next prime is 13123011113. The reversal of 13123011101 is 10111032131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13066776100 + 56235001 = 114310^2 + 7499^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123011101 - 2¹⁸ = 13122748957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123011151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561505550 + 6561505551.

It is an arithmetic number, because the mean of its divisors is an integer number (6561505551).

Almost surely, 2^13123011101 is an apocalyptic number.

It is an amenable number.

13123011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123011101 is an equidigital number, since it uses as much as digits as its factorization.

13123011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13123011101 its reverse (10111032131), we get a palindrome (23234043232).

The spelling of 13123011101 in words is "thirteen billion, one hundred twenty-three million, eleven thousand, one hundred one".