313313414000 has 40 divisors (see below), whose sum is σ = 757591839888. Its totient is φ = 125325364800.

The previous prime is 313313413993. The next prime is 313313414017. The reversal of 313313414000 is 414313313.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78326354 + ... + 78330353.

Almost surely, 2^313313414000 is an apocalyptic number.

It is an amenable number.

313313414000 is an abundant number, since it is smaller than the sum of its proper divisors (444278425888).

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

313313414000 is a wasteful number, since it uses less digits than its factorization.

313313414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156656730 (or 156656714 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 313313414000 its reverse (414313313), we get a palindrome (313727727313).

It can be divided in two parts, 313 and 313414000, that added together give a palindrome (313414313).

The spelling of 313313414000 in words is "three hundred thirteen billion, three hundred thirteen million, four hundred fourteen thousand".