31413311331413 has 8 divisors (see below), whose sum is σ = 34390159019616. Its totient is φ = 28456645662000.

The previous prime is 31413311331401. The next prime is 31413311331439.

31413311331413 is nontrivially palindromic in base 10.

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 31413311331413 - 2¹⁶ = 31413311265877 is a prime.

It is a super-2 number, since 2×31413311331413² (a number of 28 digits) contains 22 as substring.

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 31413311331413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413311331443) 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, 5045501438 + ... + 5045507663.

It is an arithmetic number, because the mean of its divisors is an integer number (4298769877452).

Almost surely, 2^{31413311331413} is an apocalyptic number.

It is an amenable number.

31413311331413 is a deficient number, since it is larger than the sum of its proper divisors (2976847688203).

31413311331413 is a wasteful number, since it uses less digits than its factorization.

31413311331413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091009395.

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 3141331 and 1331413, that added together give a palindrome (4472744).

The spelling of 31413311331413 in words is "thirty-one trillion, four hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, four hundred thirteen".