312314401334132 has 48 divisors (see below), whose sum is σ = 585219954548880. Its totient is φ = 145315774636032.

The previous prime is 312314401334057. The next prime is 312314401334171. The reversal of 312314401334132 is 231433104413213.

It can be written as a sum of positive squares in 8 ways, for example, as 81491892525796 + 230822508808336 = 9027286^2 + 15192844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312314401334092 and 312314401334101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 206327198 + ... + 207835370.

It is an arithmetic number, because the mean of its divisors is an integer number (12192082386435).

Almost surely, 2^{312314401334132} is an apocalyptic number.

It is an amenable number.

312314401334132 is a deficient number, since it is larger than the sum of its proper divisors (272905553214748).

312314401334132 is a wasteful number, since it uses less digits than its factorization.

312314401334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542500 (or 1542498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 312314401334132 its reverse (231433104413213), we get a palindrome (543747505747345).

The spelling of 312314401334132 in words is "three hundred twelve trillion, three hundred fourteen billion, four hundred one million, three hundred thirty-four thousand, one hundred thirty-two".