130430767104 has 819 divisors, whose sum is σ = 453663359499. Its totient is φ = 37444239360.

The previous prime is 130430767099. The next prime is 130430767109. The reversal of 130430767104 is 401767034031.

The square root of 130430767104 is 361152.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (130430767099) and next prime (130430767109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130430767109) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6864777207 + ... + 6864777225.

Almost surely, 2^130430767104 is an apocalyptic number.

130430767104 is the 361152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130430767104

130430767104 is an abundant number, since it is smaller than the sum of its proper divisors (323232592395).

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

130430767104 is an frugal number, since it uses more digits than its factorization.

130430767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 130430767104 by its sum of digits (36), we get a square (4695507615744 = 2166912²).

130430767104 divided by its sum of digits (36) gives a square (3623076864 = 60192²).

The spelling of 130430767104 in words is "one hundred thirty billion, four hundred thirty million, seven hundred sixty-seven thousand, one hundred four".