2102313422131 has 64 divisors (see below), whose sum is σ = 2556761518080. Its totient is φ = 1709448935040.

The previous prime is 2102313422071. The next prime is 2102313422147. The reversal of 2102313422131 is 1312243132012.

It is a cyclic number.

It is not a de Polignac number, because 2102313422131 - 2⁷ = 2102313422003 is a prime.

It is a super-2 number, since 2×2102313422131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102313422096 and 2102313422105.

It is not an unprimeable number, because it can be changed into a prime (2102313422431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51523320 + ... + 51564106.

It is an arithmetic number, because the mean of its divisors is an integer number (39949398720).

Almost surely, 2^{2102313422131} is an apocalyptic number.

2102313422131 is a deficient number, since it is larger than the sum of its proper divisors (454448095949).

2102313422131 is a wasteful number, since it uses less digits than its factorization.

2102313422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41096.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2102313422131 its reverse (1312243132012), we get a palindrome (3414556554143).

The spelling of 2102313422131 in words is "two trillion, one hundred two billion, three hundred thirteen million, four hundred twenty-two thousand, one hundred thirty-one".