4005100313 has 8 divisors (see below), whose sum is σ = 4018262880. Its totient is φ = 3991952160.

The previous prime is 4005100279. The next prime is 4005100327. The reversal of 4005100313 is 3130015004.

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 4005100313 - 2¹² = 4005096217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4005100291 and 4005100300.

It is not an unprimeable number, because it can be changed into a prime (4005100373) 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, 896381 + ... + 900837.

It is an arithmetic number, because the mean of its divisors is an integer number (502282860).

Almost surely, 2^4005100313 is an apocalyptic number.

It is an amenable number.

4005100313 is a deficient number, since it is larger than the sum of its proper divisors (13162567).

4005100313 is a wasteful number, since it uses less digits than its factorization.

4005100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 4005100313 is about 63285.8618729334. The cubic root of 4005100313 is about 1588.0754522634.

Adding to 4005100313 its reverse (3130015004), we get a palindrome (7135115317).

The spelling of 4005100313 in words is "four billion, five million, one hundred thousand, three hundred thirteen".