312327133950 has 432 divisors, whose sum is σ = 910990036656. Its totient is φ = 70518988800.

The previous prime is 312327133927. The next prime is 312327133973. The reversal of 312327133950 is 59331723213.

It is an interprime number because it is at equal distance from previous prime (312327133927) and next prime (312327133973).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 312327133899 and 312327133908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2865386496 + ... + 2865386604.

It is an arithmetic number, because the mean of its divisors is an integer number (2108773233).

Almost surely, 2^312327133950 is an apocalyptic number.

312327133950 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 312327133950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455495018328).

312327133950 is an abundant number, since it is smaller than the sum of its proper divisors (598662902706).

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

312327133950 is a wasteful number, since it uses less digits than its factorization.

312327133950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The spelling of 312327133950 in words is "three hundred twelve billion, three hundred twenty-seven million, one hundred thirty-three thousand, nine hundred fifty".