130310069120 has 768 divisors, whose sum is σ = 411993993600. Its totient is φ = 38539100160.

The previous prime is 130310069107. The next prime is 130310069137. The reversal of 130310069120 is 21960013031.

It is a super-2 number, since 2×130310069120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130310069120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1464158036 + ... + 1464158124.

Almost surely, 2^130310069120 is an apocalyptic number.

130310069120 is a gapful number since it is divisible by the number (10) 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 130310069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205996996800).

130310069120 is an abundant number, since it is smaller than the sum of its proper divisors (281683924480).

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

130310069120 is a wasteful number, since it uses less digits than its factorization.

130310069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 130310069120 in words is "one hundred thirty billion, three hundred ten million, sixty-nine thousand, one hundred twenty".