2002401212331 has 32 divisors (see below), whose sum is σ = 2930921297920. Its totient is φ = 1208591280000.

The previous prime is 2002401212321. The next prime is 2002401212351. The reversal of 2002401212331 is 1332121042002.

It is not a de Polignac number, because 2002401212331 - 2¹⁷ = 2002401081259 is a prime.

It is a super-2 number, since 2×2002401212331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002401212298 and 2002401212307.

It is not an unprimeable number, because it can be changed into a prime (2002401212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686820 + ... + 2617281.

It is an arithmetic number, because the mean of its divisors is an integer number (91591290560).

Almost surely, 2^{2002401212331} is an apocalyptic number.

2002401212331 is a deficient number, since it is larger than the sum of its proper divisors (928520085589).

2002401212331 is a wasteful number, since it uses less digits than its factorization.

2002401212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304347.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2002401212331 its reverse (1332121042002), we get a palindrome (3334522254333).

The spelling of 2002401212331 in words is "two trillion, two billion, four hundred one million, two hundred twelve thousand, three hundred thirty-one".