313032013212000 has 384 divisors, whose sum is σ = 1089096631354368. Its totient is φ = 78327524352000.

The previous prime is 313032013211969. The next prime is 313032013212001. The reversal of 313032013212000 is 212310230313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313032013212001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65206069 + ... + 69841931.

It is an arithmetic number, because the mean of its divisors is an integer number (2836189144152).

Almost surely, 2^{313032013212000} is an apocalyptic number.

313032013212000 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 313032013212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544548315677184).

313032013212000 is an abundant number, since it is smaller than the sum of its proper divisors (776064618142368).

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

313032013212000 is a wasteful number, since it uses less digits than its factorization.

313032013212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636239 (or 4636221 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313032013212000 its reverse (212310230313), we get a palindrome (313244323442313).

The spelling of 313032013212000 in words is "three hundred thirteen trillion, thirty-two billion, thirteen million, two hundred twelve thousand".