13026035013200 has 240 divisors, whose sum is σ = 35630759164032. Its totient is φ = 4529986560000.

The previous prime is 13026035013193. The next prime is 13026035013221. The reversal of 13026035013200 is 231053062031.

It is a super-2 number, since 2×13026035013200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13026035013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983758580 + ... + 983771820.

Almost surely, 2^{13026035013200} is an apocalyptic number.

13026035013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13026035013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815379582016).

13026035013200 is an abundant number, since it is smaller than the sum of its proper divisors (22604724150832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13026035013200 is a wasteful number, since it uses less digits than its factorization.

13026035013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23014 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 13026035013200 its reverse (231053062031), we get a palindrome (13257088075231).

The spelling of 13026035013200 in words is "thirteen trillion, twenty-six billion, thirty-five million, thirteen thousand, two hundred".