13121200442430 has 288 divisors, whose sum is σ = 37294173783360. Its totient is φ = 3196447349760.

The previous prime is 13121200442423. The next prime is 13121200442447. The reversal of 13121200442430 is 3424400212131.

13121200442430 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 200 + 4 + 424 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13121200442394 and 13121200442403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 775430370 + ... + 775447290.

It is an arithmetic number, because the mean of its divisors is an integer number (129493658970).

Almost surely, 2^{13121200442430} is an apocalyptic number.

13121200442430 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 13121200442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647086891680).

13121200442430 is an abundant number, since it is smaller than the sum of its proper divisors (24172973340930).

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

13121200442430 is a wasteful number, since it uses less digits than its factorization.

13121200442430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17824 (or 17802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13121200442430 its reverse (3424400212131), we get a palindrome (16545600654561).

The spelling of 13121200442430 in words is "thirteen trillion, one hundred twenty-one billion, two hundred million, four hundred forty-two thousand, four hundred thirty".