314041300134211 has 32 divisors (see below), whose sum is σ = 340123604304960. Its totient is φ = 288236764569600.

The previous prime is 314041300134143. The next prime is 314041300134241. The reversal of 314041300134211 is 112431003140413.

It is a cyclic number.

It is not a de Polignac number, because 314041300134211 - 2¹¹ = 314041300132163 is a prime.

It is a super-2 number, since 2×314041300134211² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314041300134211.

It is not an unprimeable number, because it can be changed into a prime (314041300134241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16992648091 + ... + 16992666571.

It is an arithmetic number, because the mean of its divisors is an integer number (10628862634530).

Almost surely, 2^{314041300134211} is an apocalyptic number.

314041300134211 is a deficient number, since it is larger than the sum of its proper divisors (26082304170749).

314041300134211 is a wasteful number, since it uses less digits than its factorization.

314041300134211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24247.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 314041300134211 its reverse (112431003140413), we get a palindrome (426472303274624).

The spelling of 314041300134211 in words is "three hundred fourteen trillion, forty-one billion, three hundred million, one hundred thirty-four thousand, two hundred eleven".