3006413131 has 8 divisors (see below), whose sum is σ = 3041835264. Its totient is φ = 2971111080.

The previous prime is 3006413107. The next prime is 3006413141. The reversal of 3006413131 is 1313146003.

It is a happy number.

3006413131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3006413131 - 2¹³ = 3006404939 is a prime.

It is a super-3 number, since 3×3006413131³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3006413141) 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, 20850 + ... + 80296.

It is an arithmetic number, because the mean of its divisors is an integer number (380229408).

Almost surely, 2^3006413131 is an apocalyptic number.

3006413131 is a deficient number, since it is larger than the sum of its proper divisors (35422133).

3006413131 is a wasteful number, since it uses less digits than its factorization.

3006413131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60041.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3006413131 is about 54830.7681051433. The cubic root of 3006413131 is about 1443.2765428013.

Adding to 3006413131 its reverse (1313146003), we get a palindrome (4319559134).

The spelling of 3006413131 in words is "three billion, six million, four hundred thirteen thousand, one hundred thirty-one".