331241404142133 has 48 divisors (see below), whose sum is σ = 519731829869616. Its totient is φ = 202467237396480.

The previous prime is 331241404142113. The next prime is 331241404142137.

331241404142133 is a `hidden beast` number, since 3 + 3 + 1 + 24 + 1 + 4 + 0 + 414 + 213 + 3 = 666.

331241404142133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 739802973924 + 330501601168209 = 860118^2 + 18179703^2 .

It is not a de Polignac number, because 331241404142133 - 2¹⁸ = 331241403879989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331241404142137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35008810 + ... + 43452267.

It is an arithmetic number, because the mean of its divisors is an integer number (10827746455617).

Almost surely, 2^{331241404142133} is an apocalyptic number.

It is an amenable number.

331241404142133 is a deficient number, since it is larger than the sum of its proper divisors (188490425727483).

331241404142133 is a wasteful number, since it uses less digits than its factorization.

331241404142133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78461814 (or 78461811 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 33124140 and 4142133, that added together give a palindrome (37266273).

The spelling of 331241404142133 in words is "three hundred thirty-one trillion, two hundred forty-one billion, four hundred four million, one hundred forty-two thousand, one hundred thirty-three".