2002312111300 has 72 divisors (see below), whose sum is σ = 4390514051616. Its totient is φ = 792540994560.

The previous prime is 2002312111279. The next prime is 2002312111321. The reversal of 2002312111300 is 31112132002.

It is an interprime number because it is at equal distance from previous prime (2002312111279) and next prime (2002312111321).

It is a super-3 number, since 3×2002312111300³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81108759 + ... + 81133441.

It is an arithmetic number, because the mean of its divisors is an integer number (60979361828).

Almost surely, 2^{2002312111300} is an apocalyptic number.

2002312111300 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 2002312111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195257025808).

2002312111300 is an abundant number, since it is smaller than the sum of its proper divisors (2388201940316).

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

2002312111300 is a wasteful number, since it uses less digits than its factorization.

2002312111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33157 (or 33150 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2002312111300 its reverse (31112132002), we get a palindrome (2033424243302).

The spelling of 2002312111300 in words is "two trillion, two billion, three hundred twelve million, one hundred eleven thousand, three hundred".