2002312323131 has 32 divisors (see below), whose sum is σ = 2105013657600. Its totient is φ = 1902322880640.

The previous prime is 2002312323107. The next prime is 2002312323149. The reversal of 2002312323131 is 1313232132002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002312323131 is a prime.

It is a super-3 number, since 3×2002312323131³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002312323097 and 2002312323106.

It is not an unprimeable number, because it can be changed into a prime (2002312323931) 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, 313004825 + ... + 313011221.

It is an arithmetic number, because the mean of its divisors is an integer number (65781676800).

Almost surely, 2^{2002312323131} is an apocalyptic number.

2002312323131 is a deficient number, since it is larger than the sum of its proper divisors (102701334469).

2002312323131 is a wasteful number, since it uses less digits than its factorization.

2002312323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2002312323131 its reverse (1313232132002), we get a palindrome (3315544455133).

The spelling of 2002312323131 in words is "two trillion, two billion, three hundred twelve million, three hundred twenty-three thousand, one hundred thirty-one".