13330230132100 has 144 divisors (see below), whose sum is σ = 33751121040000. Its totient is φ = 4567996728960.

The previous prime is 13330230132071. The next prime is 13330230132101. The reversal of 13330230132100 is 123103203331.

It is not an unprimeable number, because it can be changed into a prime (13330230132101) 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, 66750999 + ... + 66950401.

It is an arithmetic number, because the mean of its divisors is an integer number (234382785000).

Almost surely, 2^{13330230132100} is an apocalyptic number.

13330230132100 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 13330230132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875560520000).

13330230132100 is an abundant number, since it is smaller than the sum of its proper divisors (20420890907900).

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

13330230132100 is a wasteful number, since it uses less digits than its factorization.

13330230132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201387 (or 201366 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13330230132100 its reverse (123103203331), we get a palindrome (13453333335431).

The spelling of 13330230132100 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty million, one hundred thirty-two thousand, one hundred".