2000212120313 has 16 divisors (see below), whose sum is σ = 2384934658560. Its totient is φ = 1656204614400.

The previous prime is 2000212120307. The next prime is 2000212120321. The reversal of 2000212120313 is 3130212120002.

It is a cyclic number.

It is not a de Polignac number, because 2000212120313 - 2⁴ = 2000212120297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000212120291 and 2000212120300.

It is not an unprimeable number, because it can be changed into a prime (2000212110313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172515518 + ... + 172527111.

It is an arithmetic number, because the mean of its divisors is an integer number (149058416160).

Almost surely, 2^{2000212120313} is an apocalyptic number.

It is an amenable number.

2000212120313 is a deficient number, since it is larger than the sum of its proper divisors (384722538247).

2000212120313 is a wasteful number, since it uses less digits than its factorization.

2000212120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345042688.

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

Adding to 2000212120313 its reverse (3130212120002), we get a palindrome (5130424240315).

The spelling of 2000212120313 in words is "two trillion, two hundred twelve million, one hundred twenty thousand, three hundred thirteen".