313142214000 has 640 divisors, whose sum is σ = 1264521922560. Its totient is φ = 64766976000.

The previous prime is 313142213999. The next prime is 313142214023. The reversal of 313142214000 is 412241313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107644546 + ... + 107647454.

It is an arithmetic number, because the mean of its divisors is an integer number (1975815504).

Almost surely, 2^313142214000 is an apocalyptic number.

313142214000 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 313142214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632260961280).

313142214000 is an abundant number, since it is smaller than the sum of its proper divisors (951379708560).

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

313142214000 is a wasteful number, since it uses less digits than its factorization.

313142214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 313142214000 its reverse (412241313), we get a palindrome (313554455313).

The spelling of 313142214000 in words is "three hundred thirteen billion, one hundred forty-two million, two hundred fourteen thousand".