130218313440 has 96 divisors (see below), whose sum is σ = 410254860960. Its totient is φ = 34719197184.

The previous prime is 130218313429. The next prime is 130218313451. The reversal of 130218313440 is 44313812031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130218313429) and next prime (130218313451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130218313398 and 130218313407.

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 15 ways as a sum of consecutive naturals, for example, 3489762 + ... + 3526878.

It is an arithmetic number, because the mean of its divisors is an integer number (4273488135).

Almost surely, 2^130218313440 is an apocalyptic number.

130218313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130218313440 is an abundant number, since it is smaller than the sum of its proper divisors (280036547520).

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

130218313440 is a wasteful number, since it uses less digits than its factorization.

130218313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44444 (or 44436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 130218313440 in words is "one hundred thirty billion, two hundred eighteen million, three hundred thirteen thousand, four hundred forty".