130210033040340 has 288 divisors, whose sum is σ = 402176385297792. Its totient is φ = 31453450828800.

The previous prime is 130210033040299. The next prime is 130210033040341. The reversal of 130210033040340 is 43040330012031.

It is a super-3 number, since 3×130210033040340³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130210033040340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210033040341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6285167662 + ... + 6285188378.

It is an arithmetic number, because the mean of its divisors is an integer number (1396445782284).

Almost surely, 2^{130210033040340} is an apocalyptic number.

130210033040340 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 130210033040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201088192648896).

130210033040340 is an abundant number, since it is smaller than the sum of its proper divisors (271966352257452).

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

130210033040340 is a wasteful number, since it uses less digits than its factorization.

130210033040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23799 (or 23786 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130210033040340 its reverse (43040330012031), we get a palindrome (173250363052371).

The spelling of 130210033040340 in words is "one hundred thirty trillion, two hundred ten billion, thirty-three million, forty thousand, three hundred forty".