331414243101 has 24 divisors (see below), whose sum is σ = 480879559160. Its totient is φ = 219941568000.

The previous prime is 331414243073. The next prime is 331414243103. The reversal of 331414243101 is 101342414133.

331414243101 is a `hidden beast` number, since 3 + 3 + 1 + 414 + 243 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245931687225 + 85482555876 = 495915^2 + 292374^2 .

It is not a de Polignac number, because 331414243101 - 2²⁵ = 331380688669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331414243103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19037001 + ... + 19054401.

Almost surely, 2^331414243101 is an apocalyptic number.

It is an amenable number.

331414243101 is a deficient number, since it is larger than the sum of its proper divisors (149465316059).

331414243101 is a wasteful number, since it uses less digits than its factorization.

331414243101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26877 (or 26874 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331414243101 its reverse (101342414133), we get a palindrome (432756657234).

The spelling of 331414243101 in words is "three hundred thirty-one billion, four hundred fourteen million, two hundred forty-three thousand, one hundred one".