6130214120316 has 192 divisors, whose sum is σ = 17516689344000. Its totient is φ = 1642976025600.

The previous prime is 6130214120299. The next prime is 6130214120333.

6130214120316 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6130214120299) and next prime (6130214120333).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6048910 + ... + 6989258.

It is an arithmetic number, because the mean of its divisors is an integer number (91232757000).

Almost surely, 2^{6130214120316} is an apocalyptic number.

6130214120316 is a gapful number since it is divisible by the number (66) 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 6130214120316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758344672000).

6130214120316 is an abundant number, since it is smaller than the sum of its proper divisors (11386475223684).

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

6130214120316 is a wasteful number, since it uses less digits than its factorization.

6130214120316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940540 (or 940538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 6130214120316 in words is "six trillion, one hundred thirty billion, two hundred fourteen million, one hundred twenty thousand, three hundred sixteen".