2001313202031 has 48 divisors (see below), whose sum is σ = 3396425864832. Its totient is φ = 1119530721600.

The previous prime is 2001313202003. The next prime is 2001313202081. The reversal of 2001313202031 is 1302023131002.

It is not a de Polignac number, because 2001313202031 - 2¹⁵ = 2001313169263 is a prime.

It is a super-2 number, since 2×2001313202031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001313201995 and 2001313202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001313202081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19370596 + ... + 19473638.

It is an arithmetic number, because the mean of its divisors is an integer number (70758872184).

Almost surely, 2^{2001313202031} is an apocalyptic number.

2001313202031 is a deficient number, since it is larger than the sum of its proper divisors (1395112662801).

2001313202031 is a wasteful number, since it uses less digits than its factorization.

2001313202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118164 (or 118161 counting only the distinct ones).

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

Adding to 2001313202031 its reverse (1302023131002), we get a palindrome (3303336333033).

The spelling of 2001313202031 in words is "two trillion, one billion, three hundred thirteen million, two hundred two thousand, thirty-one".