13123204431330 has 256 divisors, whose sum is σ = 40093802496000. Its totient is φ = 2679878234880.

The previous prime is 13123204431313. The next prime is 13123204431371. The reversal of 13123204431330 is 3313440232131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5508621 + ... + 7522719.

It is an arithmetic number, because the mean of its divisors is an integer number (156616416000).

Almost surely, 2^{13123204431330} is an apocalyptic number.

13123204431330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123204431330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046901248000).

13123204431330 is an abundant number, since it is smaller than the sum of its proper divisors (26970598064670).

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

13123204431330 is a wasteful number, since it uses less digits than its factorization.

13123204431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014229.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13123204431330 its reverse (3313440232131), we get a palindrome (16436644663461).

The spelling of 13123204431330 in words is "thirteen trillion, one hundred twenty-three billion, two hundred four million, four hundred thirty-one thousand, three hundred thirty".