13021131201300 has 216 divisors, whose sum is σ = 41953572283896. Its totient is φ = 3375515566080.

The previous prime is 13021131201289. The next prime is 13021131201329. The reversal of 13021131201300 is 310213112031.

13021131201300 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 131 + 201 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8763206544 + 13012367994756 = 93612^2 + 3607266^2 .

It is a super-2 number, since 2×13021131201300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38225332 + ... + 38564468.

Almost surely, 2^{13021131201300} is an apocalyptic number.

13021131201300 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 13021131201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976786141948).

13021131201300 is an abundant number, since it is smaller than the sum of its proper divisors (28932441082596).

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

13021131201300 is a wasteful number, since it uses less digits than its factorization.

13021131201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340347 (or 340337 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13021131201300 its reverse (310213112031), we get a palindrome (13331344313331).

The spelling of 13021131201300 in words is "thirteen trillion, twenty-one billion, one hundred thirty-one million, two hundred one thousand, three hundred".