2100313011331 has 16 divisors (see below), whose sum is σ = 2145588415488. Its totient is φ = 2055485124000.

The previous prime is 2100313011323. The next prime is 2100313011343. The reversal of 2100313011331 is 1331103130012.

It is a cyclic number.

It is not a de Polignac number, because 2100313011331 - 2³ = 2100313011323 is a prime.

It is a super-3 number, since 3×2100313011331³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100313011299 and 2100313011308.

It is not an unprimeable number, because it can be changed into a prime (2100313011131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7192881 + ... + 7479181.

It is an arithmetic number, because the mean of its divisors is an integer number (134099275968).

Almost surely, 2^{2100313011331} is an apocalyptic number.

2100313011331 is a deficient number, since it is larger than the sum of its proper divisors (45275404157).

2100313011331 is a wasteful number, since it uses less digits than its factorization.

2100313011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287082.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 2100313011331 its reverse (1331103130012), we get a palindrome (3431416141343).

The spelling of 2100313011331 in words is "two trillion, one hundred billion, three hundred thirteen million, eleven thousand, three hundred thirty-one".