5105331120330 has 256 divisors, whose sum is σ = 15940363714560. Its totient is φ = 1138495336704.

The previous prime is 5105331120317. The next prime is 5105331120343. The reversal of 5105331120330 is 330211335015.

5105331120330 is a `hidden beast` number, since 5 + 1 + 0 + 533 + 1 + 120 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5105331120317) and next prime (5105331120343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5105331120294 and 5105331120303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28068459 + ... + 28249761.

It is an arithmetic number, because the mean of its divisors is an integer number (62267045760).

Almost surely, 2^{5105331120330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105331120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970181857280).

5105331120330 is an abundant number, since it is smaller than the sum of its proper divisors (10835032594230).

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

5105331120330 is a wasteful number, since it uses less digits than its factorization.

5105331120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181690 (or 181684 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 5105331120330 its reverse (330211335015), we get a palindrome (5435542455345).

The spelling of 5105331120330 in words is "five trillion, one hundred five billion, three hundred thirty-one million, one hundred twenty thousand, three hundred thirty".