13130101111200 has 576 divisors, whose sum is σ = 44783957393280. Its totient is φ = 3338053632000.

The previous prime is 13130101111117. The next prime is 13130101111271. The reversal of 13130101111200 is 211110103131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13130101111200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1457114695 + ... + 1457123705.

It is an arithmetic number, because the mean of its divisors is an integer number (77749926030).

Almost surely, 2^{13130101111200} is an apocalyptic number.

13130101111200 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 13130101111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391978696640).

13130101111200 is an abundant number, since it is smaller than the sum of its proper divisors (31653856282080).

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

13130101111200 is a wasteful number, since it uses less digits than its factorization.

13130101111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13130101111200 its reverse (211110103131), we get a palindrome (13341211214331).

The spelling of 13130101111200 in words is "thirteen trillion, one hundred thirty billion, one hundred one million, one hundred eleven thousand, two hundred".