2102332131306 has 48 divisors (see below), whose sum is σ = 5129443807488. Its totient is φ = 616519684800.

The previous prime is 2102332131253. The next prime is 2102332131329. The reversal of 2102332131306 is 6031312332012.

2102332131306 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 3 + 321 + 31 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2102332131306.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 171249331 + ... + 171261606.

It is an arithmetic number, because the mean of its divisors is an integer number (106863412656).

Almost surely, 2^{2102332131306} is an apocalyptic number.

2102332131306 is an abundant number, since it is smaller than the sum of its proper divisors (3027111676182).

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

2102332131306 is a wasteful number, since it uses less digits than its factorization.

2102332131306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342510987 (or 342510984 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2102332131306 its reverse (6031312332012), we get a palindrome (8133644463318).

The spelling of 2102332131306 in words is "two trillion, one hundred two billion, three hundred thirty-two million, one hundred thirty-one thousand, three hundred six".