313001210000 has 100 divisors (see below), whose sum is σ = 759152852700. Its totient is φ = 124978176000.

The previous prime is 313001209999. The next prime is 313001210009. The reversal of 313001210000 is 12100313.

It can be written as a sum of positive squares in 10 ways, for example, as 247808822416 + 65192387584 = 497804^2 + 255328^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×313001210000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313001210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5662496 + ... + 5717504.

It is an arithmetic number, because the mean of its divisors is an integer number (7591528527).

Almost surely, 2^313001210000 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 313001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379576426350).

313001210000 is an abundant number, since it is smaller than the sum of its proper divisors (446151642700).

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

313001210000 is an equidigital number, since it uses as much as digits as its factorization.

313001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55606 (or 55585 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 313001210000 its reverse (12100313), we get a palindrome (313013310313).

The spelling of 313001210000 in words is "three hundred thirteen billion, one million, two hundred ten thousand".