331413404314133 has 4 divisors (see below), whose sum is σ = 331437491354880. Its totient is φ = 331389317273388.

The previous prime is 331413404314061. The next prime is 331413404314259.

331413404314133 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 331413404314133 - 2¹⁰ = 331413404313109 is a prime.

It is a super-2 number, since 2×331413404314133² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331413404314033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12043499735 + ... + 12043527252.

It is an arithmetic number, because the mean of its divisors is an integer number (82859372838720).

Almost surely, 2^{331413404314133} is an apocalyptic number.

It is an amenable number.

331413404314133 is a deficient number, since it is larger than the sum of its proper divisors (24087040747).

331413404314133 is a wasteful number, since it uses less digits than its factorization.

331413404314133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24087040746.

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 33141340 and 4314133, that added together give a palindrome (37455473).

The spelling of 331413404314133 in words is "three hundred thirty-one trillion, four hundred thirteen billion, four hundred four million, three hundred fourteen thousand, one hundred thirty-three".