3121413320 has 32 divisors (see below), whose sum is σ = 7024779000. Its totient is φ = 1248281088.

The previous prime is 3121413311. The next prime is 3121413331. The reversal of 3121413320 is 233141213.

3121413320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3075146116 + 46267204 = 55454^2 + 6802^2 .

It is a super-2 number, since 2×3121413320² = 19486442228546844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3121413292 and 3121413301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313052 + ... + 322868.

Almost surely, 2^3121413320 is an apocalyptic number.

It is an amenable number.

3121413320 is an abundant number, since it is smaller than the sum of its proper divisors (3903365680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121413320 is a wasteful number, since it uses less digits than its factorization.

3121413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17777 (or 17773 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3121413320 is about 55869.6099861096. The cubic root of 3121413320 is about 1461.4493207967.

Adding to 3121413320 its reverse (233141213), we get a palindrome (3354554533).

The spelling of 3121413320 in words is "three billion, one hundred twenty-one million, four hundred thirteen thousand, three hundred twenty".