130461312 has 64 divisors (see below), whose sum is σ = 354641760. Its totient is φ = 42470400.

The previous prime is 130461307. The next prime is 130461319. The reversal of 130461312 is 213164031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×130461312² = 34040307857522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130461319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12562 + ... + 20462.

Almost surely, 2^130461312 is an apocalyptic number.

130461312 is a gapful number since it is divisible by the number (12) 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 130461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177320880).

130461312 is an abundant number, since it is smaller than the sum of its proper divisors (224180448).

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

130461312 is an equidigital number, since it uses as much as digits as its factorization.

130461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130461312 is about 11421.9662055182. The cubic root of 130461312 is about 507.1782029795.

The spelling of 130461312 in words is "one hundred thirty million, four hundred sixty-one thousand, three hundred twelve".