434314124111313 has 64 divisors (see below), whose sum is σ = 648443685427200. Its totient is φ = 287291253936960.

The previous prime is 434314124111311. The next prime is 434314124111317. The reversal of 434314124111313 is 313111421413434.

434314124111313 is a `hidden beast` number, since 4 + 3 + 4 + 314 + 1 + 24 + 1 + 1 + 1 + 313 = 666.

It is not a de Polignac number, because 434314124111313 - 2¹ = 434314124111311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434314124111311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15043251268 + ... + 15043280138.

It is an arithmetic number, because the mean of its divisors is an integer number (10131932584800).

Almost surely, 2^{434314124111313} is an apocalyptic number.

It is an amenable number.

434314124111313 is a deficient number, since it is larger than the sum of its proper divisors (214129561315887).

434314124111313 is a wasteful number, since it uses less digits than its factorization.

434314124111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33939 (or 33933 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 434314124111313 its reverse (313111421413434), we get a palindrome (747425545524747).

The spelling of 434314124111313 in words is "four hundred thirty-four trillion, three hundred fourteen billion, one hundred twenty-four million, one hundred eleven thousand, three hundred thirteen".