13123130312300 has 144 divisors (see below), whose sum is σ = 30596763681792. Its totient is φ = 4867740595200.

The previous prime is 13123130312293. The next prime is 13123130312309. The reversal of 13123130312300 is 321303132131.

It is not an unprimeable number, because it can be changed into a prime (13123130312309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191033759 + ... + 191102441.

It is an arithmetic number, because the mean of its divisors is an integer number (212477525568).

Almost surely, 2^{13123130312300} is an apocalyptic number.

13123130312300 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 13123130312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298381840896).

13123130312300 is an abundant number, since it is smaller than the sum of its proper divisors (17473633369492).

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

13123130312300 is a wasteful number, since it uses less digits than its factorization.

13123130312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70368 (or 70361 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13123130312300 its reverse (321303132131), we get a palindrome (13444433444431).

The spelling of 13123130312300 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirty million, three hundred twelve thousand, three hundred".