313111001234000 has 80 divisors (see below), whose sum is σ = 757115753271696. Its totient is φ = 125242191680000.

The previous prime is 313111001233997. The next prime is 313111001234021. The reversal of 313111001234000 is 432100111313.

It can be written as a sum of positive squares in 8 ways, for example, as 53416744872976 + 259694256361024 = 7308676^2 + 16115032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114482450 + ... + 117185550.

Almost surely, 2^{313111001234000} is an apocalyptic number.

It is an amenable number.

313111001234000 is an abundant number, since it is smaller than the sum of its proper divisors (444004752037696).

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

313111001234000 is a wasteful number, since it uses less digits than its factorization.

313111001234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761041 (or 2761025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313111001234000 its reverse (432100111313), we get a palindrome (313543101345313).

The spelling of 313111001234000 in words is "three hundred thirteen trillion, one hundred eleven billion, one million, two hundred thirty-four thousand".