2131010202321 has 576 divisors, whose sum is σ = 4724791658496. Its totient is φ = 905051750400.

The previous prime is 2131010202289. The next prime is 2131010202323. The reversal of 2131010202321 is 1232020101312.

2131010202321 is a `hidden beast` number, since 2 + 1 + 310 + 10 + 20 + 2 + 321 = 666.

It is not a de Polignac number, because 2131010202321 - 2⁵ = 2131010202289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2131010202294 and 2131010202303.

It is not an unprimeable number, because it can be changed into a prime (2131010202323) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 1229664571 + ... + 1229666303.

It is an arithmetic number, because the mean of its divisors is an integer number (8202763296).

Almost surely, 2^{2131010202321} is an apocalyptic number.

2131010202321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2131010202321 is an abundant number, since it is smaller than the sum of its proper divisors (2593781456175).

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

2131010202321 is a wasteful number, since it uses less digits than its factorization.

2131010202321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

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

Adding to 2131010202321 its reverse (1232020101312), we get a palindrome (3363030303633).

The spelling of 2131010202321 in words is "two trillion, one hundred thirty-one billion, ten million, two hundred two thousand, three hundred twenty-one".