2002121331 has 48 divisors (see below), whose sum is σ = 3295495584. Its totient is φ = 1074318336.

The previous prime is 2002121309. The next prime is 2002121351. The reversal of 2002121331 is 1331212002.

It is not a de Polignac number, because 2002121331 - 2⁵ = 2002121299 is a prime.

It is a super-2 number, since 2×2002121331² = 8016979648090423122, 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 2002121331.

It is not an unprimeable number, because it can be changed into a prime (2002121351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831221 + ... + 1832313.

It is an arithmetic number, because the mean of its divisors is an integer number (68656158).

Almost surely, 2^2002121331 is an apocalyptic number.

2002121331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002121331 is a deficient number, since it is larger than the sum of its proper divisors (1293374253).

2002121331 is a wasteful number, since it uses less digits than its factorization.

2002121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2002121331 is about 44745.0704659184. The cubic root of 2002121331 is about 1260.3663440927.

Adding to 2002121331 its reverse (1331212002), we get a palindrome (3333333333).

The spelling of 2002121331 in words is "two billion, two million, one hundred twenty-one thousand, three hundred thirty-one".