132105002352312 has 64 divisors (see below), whose sum is σ = 379248810595200. Its totient is φ = 37924881056640.

The previous prime is 132105002352277. The next prime is 132105002352313. The reversal of 132105002352312 is 213253200501231.

It is a self number, because there is not a number n which added to its sum of digits gives 132105002352312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105002352313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13168356463 + ... + 13168366494.

It is an arithmetic number, because the mean of its divisors is an integer number (5925762665550).

Almost surely, 2^{132105002352312} is an apocalyptic number.

132105002352312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132105002352312 is an abundant number, since it is smaller than the sum of its proper divisors (247143808242888).

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

132105002352312 is a wasteful number, since it uses less digits than its factorization.

132105002352312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26336722996 (or 26336722992 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 132105002352312 its reverse (213253200501231), we get a palindrome (345358202853543).

The spelling of 132105002352312 in words is "one hundred thirty-two trillion, one hundred five billion, two million, three hundred fifty-two thousand, three hundred twelve".