13201011023213 has 8 divisors (see below), whose sum is σ = 15052736551608. Its totient is φ = 11468751657984.

The previous prime is 13201011023117. The next prime is 13201011023219. The reversal of 13201011023213 is 31232011010231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9565231204 + 13191445792009 = 97802^2 + 3632003^2 .

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 13201011023213 - 2⁸ = 13201011022957 is a prime.

It is a super-2 number, since 2×13201011023213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201011023219) 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, 29866540556 + ... + 29866540997.

It is an arithmetic number, because the mean of its divisors is an integer number (1881592068951).

Almost surely, 2^{13201011023213} is an apocalyptic number.

13201011023213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13201011023213 is a deficient number, since it is larger than the sum of its proper divisors (1851725528395).

13201011023213 is a wasteful number, since it uses less digits than its factorization.

13201011023213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59733081583.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13201011023213 its reverse (31232011010231), we get a palindrome (44433022033444).

The spelling of 13201011023213 in words is "thirteen trillion, two hundred one billion, eleven million, twenty-three thousand, two hundred thirteen".