313314401000 has 128 divisors (see below), whose sum is σ = 738603684000. Its totient is φ = 124398028800.

The previous prime is 313314400921. The next prime is 313314401087. The reversal of 313314401000 is 104413313.

It can be written as a sum of positive squares in 16 ways, for example, as 2777922436 + 310536478564 = 52706^2 + 557258^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 81315074 + ... + 81318926.

Almost surely, 2^313314401000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313314401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369301842000).

313314401000 is an abundant number, since it is smaller than the sum of its proper divisors (425289283000).

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

313314401000 is a wasteful number, since it uses less digits than its factorization.

313314401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 313314401000 its reverse (104413313), we get a palindrome (313418814313).

The spelling of 313314401000 in words is "three hundred thirteen billion, three hundred fourteen million, four hundred one thousand".