4130213313 has 16 divisors (see below), whose sum is σ = 5640120576. Its totient is φ = 2687224320.

The previous prime is 4130213273. The next prime is 4130213327. The reversal of 4130213313 is 3133120314.

4130213313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4130213313 - 2³⁰ = 3056471489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4130213313.

It is not an unprimeable number, because it can be changed into a prime (4130213413) 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, 8283 + ... + 91263.

It is an arithmetic number, because the mean of its divisors is an integer number (352507536).

Almost surely, 2^4130213313 is an apocalyptic number.

It is an amenable number.

4130213313 is a deficient number, since it is larger than the sum of its proper divisors (1509907263).

4130213313 is a wasteful number, since it uses less digits than its factorization.

4130213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83384.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 4130213313 is about 64266.7356647278. The cubic root of 4130213313 is about 1604.4425121012.

Adding to 4130213313 its reverse (3133120314), we get a palindrome (7263333627).

It can be divided in two parts, 41302 and 13313, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 4130213313 in words is "four billion, one hundred thirty million, two hundred thirteen thousand, three hundred thirteen".