13001002110213 has 16 divisors (see below), whose sum is σ = 18717361830720. Its totient is φ = 7979506867584.

The previous prime is 13001002110211. The next prime is 13001002110223. The reversal of 13001002110213 is 31201120010031.

It is a happy number.

It is not a de Polignac number, because 13001002110213 - 2¹ = 13001002110211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13001002110192 and 13001002110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001002110211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439772856 + ... + 439802417.

It is an arithmetic number, because the mean of its divisors is an integer number (1169835114420).

Almost surely, 2^{13001002110213} is an apocalyptic number.

13001002110213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13001002110213 is a deficient number, since it is larger than the sum of its proper divisors (5716359720507).

13001002110213 is a wasteful number, since it uses less digits than its factorization.

13001002110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879575668.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13001002110213 its reverse (31201120010031), we get a palindrome (44202122120244).

The spelling of 13001002110213 in words is "thirteen trillion, one billion, two million, one hundred ten thousand, two hundred thirteen".