4002121313 has 4 divisors (see below), whose sum is σ = 4002398400. Its totient is φ = 4001844228.

The previous prime is 4002121303. The next prime is 4002121337. The reversal of 4002121313 is 3131212004.

4002121313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4002121313 - 2²⁶ = 3935012449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4002121291 and 4002121300.

It is not an unprimeable number, because it can be changed into a prime (4002121303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115613 + ... + 146186.

It is an arithmetic number, because the mean of its divisors is an integer number (1000599600).

Almost surely, 2^4002121313 is an apocalyptic number.

It is an amenable number.

4002121313 is a deficient number, since it is larger than the sum of its proper divisors (277087).

4002121313 is a wasteful number, since it uses less digits than its factorization.

4002121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277086.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4002121313 is about 63262.3214322712. The cubic root of 4002121313 is about 1587.6816169175.

Adding to 4002121313 its reverse (3131212004), we get a palindrome (7133333317).

The spelling of 4002121313 in words is "four billion, two million, one hundred twenty-one thousand, three hundred thirteen".