313441356000 has 192 divisors, whose sum is σ = 1054587643200. Its totient is φ = 81325209600.

The previous prime is 313441355959. The next prime is 313441356013. The reversal of 313441356000 is 653144313.

It is a super-2 number, since 2×313441356000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91026 + ... + 796974.

It is an arithmetic number, because the mean of its divisors is an integer number (5492643975).

Almost surely, 2^313441356000 is an apocalyptic number.

313441356000 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 313441356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527293821600).

313441356000 is an abundant number, since it is smaller than the sum of its proper divisors (741146287200).

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

313441356000 is a wasteful number, since it uses less digits than its factorization.

313441356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706014 (or 705996 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 313441356000 in words is "three hundred thirteen billion, four hundred forty-one million, three hundred fifty-six thousand".