13201101301120 has 512 divisors, whose sum is σ = 33685958592000. Its totient is φ = 4940994379776.

The previous prime is 13201101301103. The next prime is 13201101301121. The reversal of 13201101301120 is 2110310110231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13201101301094 and 13201101301103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201101301121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15403851732 + ... + 15403852588.

It is an arithmetic number, because the mean of its divisors is an integer number (65792887875).

Almost surely, 2^{13201101301120} is an apocalyptic number.

13201101301120 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 13201101301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842979296000).

13201101301120 is an abundant number, since it is smaller than the sum of its proper divisors (20484857290880).

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

13201101301120 is a wasteful number, since it uses less digits than its factorization.

13201101301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13201101301120 its reverse (2110310110231), we get a palindrome (15311411411351).

The spelling of 13201101301120 in words is "thirteen trillion, two hundred one billion, one hundred one million, three hundred one thousand, one hundred twenty".