13130245431100 has 288 divisors, whose sum is σ = 35319883382784. Its totient is φ = 4134683750400.

The previous prime is 13130245431031. The next prime is 13130245431101. The reversal of 13130245431100 is 113454203131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130245431101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92118087 + ... + 92260513.

It is an arithmetic number, because the mean of its divisors is an integer number (122638483968).

Almost surely, 2^{13130245431100} is an apocalyptic number.

13130245431100 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 13130245431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659941691392).

13130245431100 is an abundant number, since it is smaller than the sum of its proper divisors (22189637951684).

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

13130245431100 is a wasteful number, since it uses less digits than its factorization.

13130245431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142653 (or 142646 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 13130245431100 its reverse (113454203131), we get a palindrome (13243699634231).

The spelling of 13130245431100 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-five million, four hundred thirty-one thousand, one hundred".