13110101131013 has 2 divisors, whose sum is σ = 13110101131014. Its totient is φ = 13110101131012.

The previous prime is 13110101131009. The next prime is 13110101131021. The reversal of 13110101131013 is 31013110101131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9198257976769 + 3911843154244 = 3032863^2 + 1977838^2 .

It is an emirp because it is prime and its reverse (31013110101131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13110101131013 - 2² = 13110101131009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13110101130982 and 13110101131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13110101131033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555050565506 + 6555050565507.

It is an arithmetic number, because the mean of its divisors is an integer number (6555050565507).

Almost surely, 2^{13110101131013} is an apocalyptic number.

It is an amenable number.

13110101131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110101131013 is an equidigital number, since it uses as much as digits as its factorization.

13110101131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 13110101131013 its reverse (31013110101131), we get a palindrome (44123211232144).

The spelling of 13110101131013 in words is "thirteen trillion, one hundred ten billion, one hundred one million, one hundred thirty-one thousand, thirteen".