13003132100000 has 288 divisors, whose sum is σ = 37168581808512. Its totient is φ = 4385116800000.

The previous prime is 13003132099999. The next prime is 13003132100009. The reversal of 13003132100000 is 123130031.

13003132100000 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 (14).

It is not an unprimeable number, because it can be changed into a prime (13003132100009) 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, 42547739 + ... + 42852261.

It is an arithmetic number, because the mean of its divisors is an integer number (129057575724).

Almost surely, 2^{13003132100000} is an apocalyptic number.

13003132100000 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 13003132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584290904256).

13003132100000 is an abundant number, since it is smaller than the sum of its proper divisors (24165449708512).

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

13003132100000 is an frugal number, since it uses more digits than its factorization.

13003132100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304626 (or 304598 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13003132100000 its reverse (123130031), we get a palindrome (13003255230031).

The spelling of 13003132100000 in words is "thirteen trillion, three billion, one hundred thirty-two million, one hundred thousand".