2002231100331 has 96 divisors (see below), whose sum is σ = 3720762978816. Its totient is φ = 1007209728000.

The previous prime is 2002231100329. The next prime is 2002231100347. The reversal of 2002231100331 is 1330011322002.

2002231100331 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 231 + 100 + 331 = 666.

It is not a de Polignac number, because 2002231100331 - 2¹ = 2002231100329 is a prime.

It is a super-2 number, since 2×2002231100331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002231100371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5225211 + ... + 5595291.

It is an arithmetic number, because the mean of its divisors is an integer number (38757947696).

Almost surely, 2^{2002231100331} is an apocalyptic number.

2002231100331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002231100331 is a deficient number, since it is larger than the sum of its proper divisors (1718531878485).

2002231100331 is a wasteful number, since it uses less digits than its factorization.

2002231100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370353 (or 370350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002231100331 its reverse (1330011322002), we get a palindrome (3332242422333).

The spelling of 2002231100331 in words is "two trillion, two billion, two hundred thirty-one million, one hundred thousand, three hundred thirty-one".