312320013000 has 192 divisors, whose sum is σ = 1018652544000. Its totient is φ = 79663830400.

The previous prime is 312320012987. The next prime is 312320013101. The reversal of 312320013000 is 310023213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488601 + ... + 1685399.

It is an arithmetic number, because the mean of its divisors is an integer number (5305482000).

Almost surely, 2^312320013000 is an apocalyptic number.

312320013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312320013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509326272000).

312320013000 is an abundant number, since it is smaller than the sum of its proper divisors (706332531000).

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

312320013000 is a wasteful number, since it uses less digits than its factorization.

312320013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196869 (or 196832 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 312320013000 its reverse (310023213), we get a palindrome (312630036213).

The spelling of 312320013000 in words is "three hundred twelve billion, three hundred twenty million, thirteen thousand".