13100101301213 has 8 divisors (see below), whose sum is σ = 13896334498680. Its totient is φ = 12306716881920.

The previous prime is 13100101301129. The next prime is 13100101301227. The reversal of 13100101301213 is 31210310100131.

It can be written as a sum of positive squares in 4 ways, for example, as 432894254809 + 12667207046404 = 657947^2 + 3559102^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13100101301213 - 2¹⁶ = 13100101235677 is a prime.

It is a super-2 number, since 2×13100101301213² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100101301191 and 13100101301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100101301713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712185068 + ... + 712203461.

It is an arithmetic number, because the mean of its divisors is an integer number (1737041812335).

Almost surely, 2^{13100101301213} is an apocalyptic number.

It is an amenable number.

13100101301213 is a deficient number, since it is larger than the sum of its proper divisors (796233197467).

13100101301213 is a wasteful number, since it uses less digits than its factorization.

13100101301213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424389087.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13100101301213 its reverse (31210310100131), we get a palindrome (44310411401344).

The spelling of 13100101301213 in words is "thirteen trillion, one hundred billion, one hundred one million, three hundred one thousand, two hundred thirteen".