13130210421200 has 120 divisors (see below), whose sum is σ = 31832136446208. Its totient is φ = 5204355287040.

The previous prime is 13130210421193. The next prime is 13130210421331. The reversal of 13130210421200 is 212401203131.

13130210421200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13130210421200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200971739 + ... + 201037061.

Almost surely, 2^{13130210421200} is an apocalyptic number.

13130210421200 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 13130210421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916068223104).

13130210421200 is an abundant number, since it is smaller than the sum of its proper divisors (18701926025008).

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

13130210421200 is a wasteful number, since it uses less digits than its factorization.

13130210421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69901 (or 69890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13130210421200 its reverse (212401203131), we get a palindrome (13342611624331).

The spelling of 13130210421200 in words is "thirteen trillion, one hundred thirty billion, two hundred ten million, four hundred twenty-one thousand, two hundred".