434013141311321 has 16 divisors (see below), whose sum is σ = 512306102874048. Its totient is φ = 362480733115200.

The previous prime is 434013141311317. The next prime is 434013141311329. The reversal of 434013141311321 is 123113141310434.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 434013141311321 - 2² = 434013141311317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434013141311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7192047866 + ... + 7192108211.

It is an arithmetic number, because the mean of its divisors is an integer number (32019131429628).

Almost surely, 2^{434013141311321} is an apocalyptic number.

It is an amenable number.

434013141311321 is a deficient number, since it is larger than the sum of its proper divisors (78292961562727).

434013141311321 is a wasteful number, since it uses less digits than its factorization.

434013141311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384156312.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 434013141311321 its reverse (123113141310434), we get a palindrome (557126282621755).

The spelling of 434013141311321 in words is "four hundred thirty-four trillion, thirteen billion, one hundred forty-one million, three hundred eleven thousand, three hundred twenty-one".