2011210213320 has 1536 divisors, whose sum is σ = 8663031336960. Its totient is φ = 407586816000.

The previous prime is 2011210213319. The next prime is 2011210213321. The reversal of 2011210213320 is 233120121102.

2011210213320 is a `hidden beast` number, since 20 + 112 + 1 + 0 + 213 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2011210213319) and next prime (2011210213321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011210213293 and 2011210213302.

It is not an unprimeable number, because it can be changed into a prime (2011210213321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7157331580 + ... + 7157331860.

It is an arithmetic number, because the mean of its divisors is an integer number (5639994360).

Almost surely, 2^{2011210213320} is an apocalyptic number.

2011210213320 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 2011210213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331515668480).

2011210213320 is an abundant number, since it is smaller than the sum of its proper divisors (6651821123640).

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

2011210213320 is a wasteful number, since it uses less digits than its factorization.

2011210213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2011210213320 its reverse (233120121102), we get a palindrome (2244330334422).

The spelling of 2011210213320 in words is "two trillion, eleven billion, two hundred ten million, two hundred thirteen thousand, three hundred twenty".