2120313213300 has 144 divisors (see below), whose sum is σ = 6179636477952. Its totient is φ = 561294230400.

The previous prime is 2120313213289. The next prime is 2120313213311. The reversal of 2120313213300 is 33123130212.

It is an interprime number because it is at equal distance from previous prime (2120313213289) and next prime (2120313213311).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27867109 + ... + 27943091.

It is an arithmetic number, because the mean of its divisors is an integer number (42914142208).

Almost surely, 2^{2120313213300} is an apocalyptic number.

2120313213300 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 2120313213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089818238976).

2120313213300 is an abundant number, since it is smaller than the sum of its proper divisors (4059323264652).

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

2120313213300 is a wasteful number, since it uses less digits than its factorization.

2120313213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76678 (or 76671 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2120313213300 its reverse (33123130212), we get a palindrome (2153436343512).

The spelling of 2120313213300 in words is "two trillion, one hundred twenty billion, three hundred thirteen million, two hundred thirteen thousand, three hundred".