312132102030100 has 144 divisors (see below), whose sum is σ = 741458783975616. Its totient is φ = 113110107264000.

The previous prime is 312132102030041. The next prime is 312132102030109. The reversal of 312132102030100 is 1030201231213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132102030109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836151094 + ... + 836524306.

It is an arithmetic number, because the mean of its divisors is an integer number (5149019333164).

Almost surely, 2^{312132102030100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312132102030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370729391987808).

312132102030100 is an abundant number, since it is smaller than the sum of its proper divisors (429326681945516).

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

312132102030100 is a wasteful number, since it uses less digits than its factorization.

312132102030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375866 (or 375859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312132102030100 its reverse (1030201231213), we get a palindrome (313162303261313).

The spelling of 312132102030100 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred two million, thirty thousand, one hundred".