2002011333313 has 8 divisors (see below), whose sum is σ = 2008039105800. Its totient is φ = 1995984076800.

The previous prime is 2002011333263. The next prime is 2002011333373. The reversal of 2002011333313 is 3133331102002.

It can be written as a sum of positive squares in 4 ways, for example, as 931711423504 + 1070299909809 = 965252^2 + 1034553^2 .

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 2002011333313 - 2¹⁷ = 2002011202241 is a prime.

It is a super-3 number, since 3×2002011333313³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002011333373) 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, 8511513 + ... + 8743561.

It is an arithmetic number, because the mean of its divisors is an integer number (251004888225).

Almost surely, 2^{2002011333313} is an apocalyptic number.

It is an amenable number.

2002011333313 is a deficient number, since it is larger than the sum of its proper divisors (6027772487).

2002011333313 is a wasteful number, since it uses less digits than its factorization.

2002011333313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257987.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2002011333313 its reverse (3133331102002), we get a palindrome (5135342435315).

The spelling of 2002011333313 in words is "two trillion, two billion, eleven million, three hundred thirty-three thousand, three hundred thirteen".