313100312000 has 448 divisors, whose sum is σ = 908149112832. Its totient is φ = 104716800000.

The previous prime is 313100311963. The next prime is 313100312009. The reversal of 313100312000 is 213001313.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515815697 + ... + 515816303.

Almost surely, 2^313100312000 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 313100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454074556416).

313100312000 is an abundant number, since it is smaller than the sum of its proper divisors (595048800832).

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

313100312000 is a wasteful number, since it uses less digits than its factorization.

313100312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313100312000 its reverse (213001313), we get a palindrome (313313313313).

The spelling of 313100312000 in words is "three hundred thirteen billion, one hundred million, three hundred twelve thousand".