130214313240 has 256 divisors, whose sum is σ = 445648158720. Its totient is φ = 30129200640.

The previous prime is 130214313223. The next prime is 130214313269. The reversal of 130214313240 is 42313412031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130214313240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14780917 + ... + 14789723.

It is an arithmetic number, because the mean of its divisors is an integer number (1740813120).

Almost surely, 2^130214313240 is an apocalyptic number.

130214313240 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 130214313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222824079360).

130214313240 is an abundant number, since it is smaller than the sum of its proper divisors (315433845480).

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

130214313240 is a wasteful number, since it uses less digits than its factorization.

130214313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130214313240 its reverse (42313412031), we get a palindrome (172527725271).

The spelling of 130214313240 in words is "one hundred thirty billion, two hundred fourteen million, three hundred thirteen thousand, two hundred forty".