312132131141303 has 32 divisors (see below), whose sum is σ = 363728852766720. Its totient is φ = 265048999488000.

The previous prime is 312132131141291. The next prime is 312132131141317. The reversal of 312132131141303 is 303141131231213.

It is not a de Polignac number, because 312132131141303 - 2²⁸ = 312131862705847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132131041303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25806926 + ... + 35920212.

It is an arithmetic number, because the mean of its divisors is an integer number (11366526648960).

Almost surely, 2^{312132131141303} is an apocalyptic number.

312132131141303 is a deficient number, since it is larger than the sum of its proper divisors (51596721625417).

312132131141303 is a wasteful number, since it uses less digits than its factorization.

312132131141303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116479.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 312132131141303 its reverse (303141131231213), we get a palindrome (615273262372516).

The spelling of 312132131141303 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred forty-one thousand, three hundred three".