13130232121100 has 72 divisors (see below), whose sum is σ = 29033173945440. Its totient is φ = 5152468871680.

The previous prime is 13130232121099. The next prime is 13130232121109. The reversal of 13130232121100 is 112123203131.

It is a happy number.

13130232121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13130232121109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53773889 + ... + 54017511.

It is an arithmetic number, because the mean of its divisors is an integer number (403238527020).

Almost surely, 2^{13130232121100} is an apocalyptic number.

13130232121100 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 13130232121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516586972720).

13130232121100 is an abundant number, since it is smaller than the sum of its proper divisors (15902941824340).

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

13130232121100 is a wasteful number, since it uses less digits than its factorization.

13130232121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253859 (or 253852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13130232121100 its reverse (112123203131), we get a palindrome (13242355324231).

The spelling of 13130232121100 in words is "thirteen trillion, one hundred thirty billion, two hundred thirty-two million, one hundred twenty-one thousand, one hundred".