2002012102313 has 4 divisors (see below), whose sum is σ = 2002050490368. Its totient is φ = 2001973714260.

The previous prime is 2002012102297. The next prime is 2002012102331. The reversal of 2002012102313 is 3132012102002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2002012102313 - 2⁴ = 2002012102297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002012102291 and 2002012102300.

It is not an unprimeable number, because it can be changed into a prime (2002012132313) 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 3 ways as a sum of consecutive naturals, for example, 19115693 + ... + 19220138.

It is an arithmetic number, because the mean of its divisors is an integer number (500512622592).

Almost surely, 2^{2002012102313} is an apocalyptic number.

It is an amenable number.

2002012102313 is a deficient number, since it is larger than the sum of its proper divisors (38388055).

2002012102313 is an equidigital number, since it uses as much as digits as its factorization.

2002012102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38388054.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2002012102313 its reverse (3132012102002), we get a palindrome (5134024204315).

The spelling of 2002012102313 in words is "two trillion, two billion, twelve million, one hundred two thousand, three hundred thirteen".