2000213331 has 32 divisors (see below), whose sum is σ = 2862397440. Its totient is φ = 1239321600.

The previous prime is 2000213321. The next prime is 2000213351. The reversal of 2000213331 is 1333120002.

It is not a de Polignac number, because 2000213331 - 2⁷ = 2000213203 is a prime.

It is a super-2 number, since 2×2000213331² = 8001706739020231122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000213331.

It is not an unprimeable number, because it can be changed into a prime (2000213321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765355 + ... + 767963.

It is an arithmetic number, because the mean of its divisors is an integer number (89449920).

Almost surely, 2^2000213331 is an apocalyptic number.

2000213331 is a deficient number, since it is larger than the sum of its proper divisors (862184109).

2000213331 is a wasteful number, since it uses less digits than its factorization.

2000213331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2000213331 is about 44723.7445994854. The cubic root of 2000213331 is about 1259.9658450051.

Adding to 2000213331 its reverse (1333120002), we get a palindrome (3333333333).

It can be divided in two parts, 20002 and 13331, that multiplied together give a palindrome (266646662).

The spelling of 2000213331 in words is "two billion, two hundred thirteen thousand, three hundred thirty-one".