2131322000101 has 6 divisors (see below), whose sum is σ = 2479292938950. Its totient is φ = 1826847428616.

The previous prime is 2131322000099. The next prime is 2131322000113. The reversal of 2131322000101 is 1010002231312.

It can be written as a sum of positive squares in only one way, i.e., 1575363868225 + 555958131876 = 1255135^2 + 745626^2 .

It is not a de Polignac number, because 2131322000101 - 2¹ = 2131322000099 is a prime.

It is a super-2 number, since 2×2131322000101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131322000131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21748183626 + ... + 21748183723.

It is an arithmetic number, because the mean of its divisors is an integer number (413215489825).

Almost surely, 2^{2131322000101} is an apocalyptic number.

It is an amenable number.

2131322000101 is a deficient number, since it is larger than the sum of its proper divisors (347970938849).

2131322000101 is an equidigital number, since it uses as much as digits as its factorization.

2131322000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43496367363 (or 43496367356 counting only the distinct ones).

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

Adding to 2131322000101 its reverse (1010002231312), we get a palindrome (3141324231413).

The spelling of 2131322000101 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred one", and thus it is an aban number.