130313333213440 has 144 divisors (see below), whose sum is σ = 341662705531056. Its totient is φ = 47326910054400.

The previous prime is 130313333213431. The next prime is 130313333213471. The reversal of 130313333213440 is 44312333313031.

It can be written as a sum of positive squares in 8 ways, for example, as 25074295115776 + 105239038097664 = 5007424^2 + 10258608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130313333213396 and 130313333213405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63176191 + ... + 65206270.

It is an arithmetic number, because the mean of its divisors is an integer number (2372657677299).

Almost surely, 2^{130313333213440} is an apocalyptic number.

130313333213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130313333213440 is an abundant number, since it is smaller than the sum of its proper divisors (211349372317616).

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

130313333213440 is a wasteful number, since it uses less digits than its factorization.

130313333213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128382556 (or 128382542 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 34.

Adding to 130313333213440 its reverse (44312333313031), we get a palindrome (174625666526471).

The spelling of 130313333213440 in words is "one hundred thirty trillion, three hundred thirteen billion, three hundred thirty-three million, two hundred thirteen thousand, four hundred forty".