434212314013 has 16 divisors (see below), whose sum is σ = 447727420800. Its totient is φ = 420854950656.

The previous prime is 434212313993. The next prime is 434212314047. The reversal of 434212314013 is 310413212434.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 434212314013 - 2³³ = 425622379421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434212314083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16817688 + ... + 16843486.

It is an arithmetic number, because the mean of its divisors is an integer number (27982963800).

Almost surely, 2^434212314013 is an apocalyptic number.

434212314013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

434212314013 is a deficient number, since it is larger than the sum of its proper divisors (13515106787).

434212314013 is a wasteful number, since it uses less digits than its factorization.

434212314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28836.

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

Adding to 434212314013 its reverse (310413212434), we get a palindrome (744625526447).

It can be divided in two parts, 434212 and 314013, that added together give a square (748225 = 865²).

The spelling of 434212314013 in words is "four hundred thirty-four billion, two hundred twelve million, three hundred fourteen thousand, thirteen".