334131224100401 has 16 divisors (see below), whose sum is σ = 411292819932288. Its totient is φ = 264332596752000.

The previous prime is 334131224100283. The next prime is 334131224100407. The reversal of 334131224100401 is 104001422131433.

It is a de Polignac number, because none of the positive numbers 2^k-334131224100401 is a prime.

It is a super-2 number, since 2×334131224100401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334131224100407) 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, 242121875 + ... + 243497976.

It is an arithmetic number, because the mean of its divisors is an integer number (25705801245768).

Almost surely, 2^{334131224100401} is an apocalyptic number.

It is an amenable number.

334131224100401 is a deficient number, since it is larger than the sum of its proper divisors (77161595831887).

334131224100401 is a wasteful number, since it uses less digits than its factorization.

334131224100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485627432.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 334131224100401 its reverse (104001422131433), we get a palindrome (438132646231834).

The spelling of 334131224100401 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two hundred twenty-four million, one hundred thousand, four hundred one".