13101200232120 has 1536 divisors, whose sum is σ = 59144746752000. Its totient is φ = 2427067514880.

The previous prime is 13101200232103. The next prime is 13101200232121. The reversal of 13101200232120 is 2123200210131.

13101200232120 is a `hidden beast` number, since 1 + 310 + 1 + 2 + 0 + 0 + 232 + 120 = 666.

It is a super-2 number, since 2×13101200232120² (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 junction number, because it is equal to n+sod(n) for n = 13101200232093 and 13101200232102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101200232121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1853327946 + ... + 1853335014.

It is an arithmetic number, because the mean of its divisors is an integer number (38505694500).

Almost surely, 2^{13101200232120} is an apocalyptic number.

13101200232120 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 13101200232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29572373376000).

13101200232120 is an abundant number, since it is smaller than the sum of its proper divisors (46043546519880).

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

13101200232120 is a wasteful number, since it uses less digits than its factorization.

13101200232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7293 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101200232120 its reverse (2123200210131), we get a palindrome (15224400442251).

The spelling of 13101200232120 in words is "thirteen trillion, one hundred one billion, two hundred million, two hundred thirty-two thousand, one hundred twenty".