4002102013 has 24 divisors (see below), whose sum is σ = 4961659968. Its totient is φ = 3160789632.

The previous prime is 4002102011. The next prime is 4002102023. The reversal of 4002102013 is 3102012004.

It is not a de Polignac number, because 4002102013 - 2¹ = 4002102011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4002101984 and 4002102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002102011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727170 + ... + 732652.

It is an arithmetic number, because the mean of its divisors is an integer number (206735832).

Almost surely, 2^4002102013 is an apocalyptic number.

It is an amenable number.

4002102013 is a deficient number, since it is larger than the sum of its proper divisors (959557955).

4002102013 is a wasteful number, since it uses less digits than its factorization.

4002102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4002102013 is about 63262.1688926328. The cubic root of 4002102013 is about 1587.6790647456.

Adding to 4002102013 its reverse (3102012004), we get a palindrome (7104114017).

Subtracting from 4002102013 its reverse (3102012004), we obtain a palindrome (900090009).

The spelling of 4002102013 in words is "four billion, two million, one hundred two thousand, thirteen".