313223113000 has 768 divisors, whose sum is σ = 972399168000. Its totient is φ = 92123136000.

The previous prime is 313223112967. The next prime is 313223113003. The reversal of 313223113000 is 311322313.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (313223113003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1114672860 + ... + 1114673140.

It is an arithmetic number, because the mean of its divisors is an integer number (1266144750).

Almost surely, 2^313223113000 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 313223113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486199584000).

313223113000 is an abundant number, since it is smaller than the sum of its proper divisors (659176055000).

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

313223113000 is a wasteful number, since it uses less digits than its factorization.

313223113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 313223113000 its reverse (311322313), we get a palindrome (313534435313).

The spelling of 313223113000 in words is "three hundred thirteen billion, two hundred twenty-three million, one hundred thirteen thousand".