312542631326310 has 384 divisors, whose sum is σ = 956561520337920. Its totient is φ = 63959868656640.

The previous prime is 312542631326281. The next prime is 312542631326327. The reversal of 312542631326310 is 13623136245213.

It is a super-2 number, since 2×312542631326310² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8357406532 + ... + 8357443928.

It is an arithmetic number, because the mean of its divisors is an integer number (2491045625880).

Almost surely, 2^{312542631326310} is an apocalyptic number.

312542631326310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312542631326310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478280760168960).

312542631326310 is an abundant number, since it is smaller than the sum of its proper divisors (644018889011610).

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

312542631326310 is a wasteful number, since it uses less digits than its factorization.

312542631326310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42412 (or 42401 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 312542631326310 in words is "three hundred twelve trillion, five hundred forty-two billion, six hundred thirty-one million, three hundred twenty-six thousand, three hundred ten".