313133130000 has 300 divisors, whose sum is σ = 1113043296508. Its totient is φ = 82131840000.

The previous prime is 313133129993. The next prime is 313133130001. The reversal of 313133130000 is 31331313.

313133130000 is a `hidden beast` number, since 3 + 1 + 31 + 331 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 311792691456 + 1340438544 = 558384^2 + 36612^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313133130001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5461482 + ... + 5518518.

Almost surely, 2^313133130000 is an apocalyptic number.

313133130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313133130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556521648254).

313133130000 is an abundant number, since it is smaller than the sum of its proper divisors (799910166508).

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

313133130000 is a wasteful number, since it uses less digits than its factorization.

313133130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57132 (or 57108 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 313133130000 its reverse (31331313), we get a palindrome (313164461313).

The spelling of 313133130000 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred thirty thousand".