3120414413431 has 16 divisors (see below), whose sum is σ = 3756490905600. Its totient is φ = 2532109340448.

The previous prime is 3120414413407. The next prime is 3120414413443. The reversal of 3120414413431 is 1343144140213.

It is a cyclic number.

It is not a de Polignac number, because 3120414413431 - 2⁵ = 3120414413399 is a prime.

It is a super-2 number, since 2×3120414413431² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3120414413393 and 3120414413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120414413471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7960720 + ... + 8343493.

It is an arithmetic number, because the mean of its divisors is an integer number (234780681600).

Almost surely, 2^{3120414413431} is an apocalyptic number.

3120414413431 is a deficient number, since it is larger than the sum of its proper divisors (636076492169).

3120414413431 is a wasteful number, since it uses less digits than its factorization.

3120414413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16305678.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 3120414413431 its reverse (1343144140213), we get a palindrome (4463558553644).

The spelling of 3120414413431 in words is "three trillion, one hundred twenty billion, four hundred fourteen million, four hundred thirteen thousand, four hundred thirty-one".