3141332331413 has 8 divisors (see below), whose sum is σ = 3326313830040. Its totient is φ = 2956372748800.

The previous prime is 3141332331383. The next prime is 3141332331461.

It is a happy number.

3141332331413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 588361100209 + 2552971231204 = 767047^2 + 1597802^2 .

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 3141332331413 - 2²² = 3141328137109 is a prime.

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 3141332331413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141332331013) 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, 5183438 + ... + 5757663.

It is an arithmetic number, because the mean of its divisors is an integer number (415789228755).

Almost surely, 2^{3141332331413} is an apocalyptic number.

It is an amenable number.

3141332331413 is a deficient number, since it is larger than the sum of its proper divisors (184981498627).

3141332331413 is a wasteful number, since it uses less digits than its factorization.

3141332331413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10958007.

The product of its digits is 23328, while the sum is 32.

The spelling of 3141332331413 in words is "three trillion, one hundred forty-one billion, three hundred thirty-two million, three hundred thirty-one thousand, four hundred thirteen".