34213000314121 has 16 divisors (see below), whose sum is σ = 36281345520960. Its totient is φ = 32171857248960.

The previous prime is 34213000314107. The next prime is 34213000314127. The reversal of 34213000314121 is 12141300031243.

It is a cyclic number.

It is not a de Polignac number, because 34213000314121 - 2²⁵ = 34212966759689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34213000314127) 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, 3230710 + ... + 8880511.

It is an arithmetic number, because the mean of its divisors is an integer number (2267584095060).

Almost surely, 2^{34213000314121} is an apocalyptic number.

It is an amenable number.

34213000314121 is a deficient number, since it is larger than the sum of its proper divisors (2068345206839).

34213000314121 is a wasteful number, since it uses less digits than its factorization.

34213000314121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112344.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 34213000314121 its reverse (12141300031243), we get a palindrome (46354300345364).

The spelling of 34213000314121 in words is "thirty-four trillion, two hundred thirteen billion, three hundred fourteen thousand, one hundred twenty-one".