331414124131001 has 8 divisors (see below), whose sum is σ = 337682614586184. Its totient is φ = 325146203815680.

The previous prime is 331414124130983. The next prime is 331414124131009. The reversal of 331414124131001 is 100131421414133.

It can be written as a sum of positive squares in 4 ways, for example, as 12333785778601 + 319080338352400 = 3511949^2 + 17862820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331414124131001 - 2⁶ = 331414124130937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331414124131009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141361310 + ... + 143686631.

It is an arithmetic number, because the mean of its divisors is an integer number (42210326823273).

Almost surely, 2^{331414124131001} is an apocalyptic number.

It is an amenable number.

331414124131001 is a deficient number, since it is larger than the sum of its proper divisors (6268490455183).

331414124131001 is a wasteful number, since it uses less digits than its factorization.

331414124131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285069931.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 331414124131001 its reverse (100131421414133), we get a palindrome (431545545545134).

The spelling of 331414124131001 in words is "three hundred thirty-one trillion, four hundred fourteen billion, one hundred twenty-four million, one hundred thirty-one thousand, one".