13113101123213 has 24 divisors (see below), whose sum is σ = 16438708418328. Its totient is φ = 10368059619456.

The previous prime is 13113101123207. The next prime is 13113101123231. The reversal of 13113101123213 is 31232110131131.

It can be written as a sum of positive squares in 4 ways, for example, as 5007225208489 + 8105875914724 = 2237683^2 + 2847082^2 .

It is not a de Polignac number, because 13113101123213 - 2³⁴ = 13095921254029 is a prime.

It is a super-2 number, since 2×13113101123213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113101123413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6158306 + ... + 8009427.

It is an arithmetic number, because the mean of its divisors is an integer number (684946184097).

Almost surely, 2^{13113101123213} is an apocalyptic number.

13113101123213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13113101123213 is a deficient number, since it is larger than the sum of its proper divisors (3325607295115).

13113101123213 is a wasteful number, since it uses less digits than its factorization.

13113101123213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169213 (or 14169206 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13113101123213 its reverse (31232110131131), we get a palindrome (44345211254344).

The spelling of 13113101123213 in words is "thirteen trillion, one hundred thirteen billion, one hundred one million, one hundred twenty-three thousand, two hundred thirteen".