13100101013 has 4 divisors (see below), whose sum is σ = 13107097068. Its totient is φ = 13093104960.

The previous prime is 13100100989. The next prime is 13100101037. The reversal of 13100101013 is 31010100131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31010100131 = 359 ⋅86379109.

It is an interprime number because it is at equal distance from previous prime (13100100989) and next prime (13100101037).

It can be written as a sum of positive squares in 2 ways, for example, as 4993259569 + 8106841444 = 70663^2 + 90038^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100101013 - 2⁸ = 13100100757 is a prime.

It is a super-2 number, since 2×13100101013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100100985 and 13100101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100101813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3495218 + ... + 3498963.

It is an arithmetic number, because the mean of its divisors is an integer number (3276774267).

Almost surely, 2^13100101013 is an apocalyptic number.

It is an amenable number.

13100101013 is a deficient number, since it is larger than the sum of its proper divisors (6996055).

13100101013 is an equidigital number, since it uses as much as digits as its factorization.

13100101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996054.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 13100101013 its reverse (31010100131), we get a palindrome (44110201144).

The spelling of 13100101013 in words is "thirteen billion, one hundred million, one hundred one thousand, thirteen".