130434221010340 has 48 divisors (see below), whose sum is σ = 298296412147440. Its totient is φ = 47619200471040.

The previous prime is 130434221010271. The next prime is 130434221010427. The reversal of 130434221010340 is 43010122434031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9672759331236 + 120761461679104 = 3110106^2 + 10989152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130434221010299 and 130434221010308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2818348101 + ... + 2818394380.

It is an arithmetic number, because the mean of its divisors is an integer number (6214508586405).

Almost surely, 2^{130434221010340} is an apocalyptic number.

130434221010340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434221010340 is an abundant number, since it is smaller than the sum of its proper divisors (167862191137100).

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

130434221010340 is a wasteful number, since it uses less digits than its factorization.

130434221010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636742592 (or 5636742590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 130434221010340 its reverse (43010122434031), we get a palindrome (173444343444371).

The spelling of 130434221010340 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred twenty-one million, ten thousand, three hundred forty".