6133812301120 has 336 divisors, whose sum is σ = 17121156379920. Its totient is φ = 2086925008896.

The previous prime is 6133812301093. The next prime is 6133812301153. The reversal of 6133812301120 is 211032183316.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42077496384 + 6091734804736 = 205128^2 + 2468144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3173207674 + ... + 3173209606.

Almost surely, 2^{6133812301120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6133812301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560578189960).

6133812301120 is an abundant number, since it is smaller than the sum of its proper divisors (10987344078800).

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

6133812301120 is a wasteful number, since it uses less digits than its factorization.

6133812301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 6133812301120 its reverse (211032183316), we get a palindrome (6344844484436).

The spelling of 6133812301120 in words is "six trillion, one hundred thirty-three billion, eight hundred twelve million, three hundred one thousand, one hundred twenty".