2000213101320 has 256 divisors, whose sum is σ = 7045747752960. Its totient is φ = 444783194112.

The previous prime is 2000213101309. The next prime is 2000213101331. The reversal of 2000213101320 is 231013120002.

It is an interprime number because it is at equal distance from previous prime (2000213101309) and next prime (2000213101331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2000213101320.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6441472 + ... + 6744848.

It is an arithmetic number, because the mean of its divisors is an integer number (27522452160).

Almost surely, 2^{2000213101320} is an apocalyptic number.

2000213101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000213101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522873876480).

2000213101320 is an abundant number, since it is smaller than the sum of its proper divisors (5045534651640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000213101320 is a wasteful number, since it uses less digits than its factorization.

2000213101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303612 (or 303608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2000213101320 its reverse (231013120002), we get a palindrome (2231226221322).

The spelling of 2000213101320 in words is "two trillion, two hundred thirteen million, one hundred one thousand, three hundred twenty".