313213113021000 has 128 divisors (see below), whose sum is σ = 977468465001600. Its totient is φ = 83502680364800.

The previous prime is 313213113020957. The next prime is 313213113021037. The reversal of 313213113021000 is 120311312313.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969270 + ... + 25047269.

It is an arithmetic number, because the mean of its divisors is an integer number (7636472382825).

Almost surely, 2^{313213113021000} is an apocalyptic number.

313213113021000 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 313213113021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488734232500800).

313213113021000 is an abundant number, since it is smaller than the sum of its proper divisors (664255351980600).

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

313213113021000 is a wasteful number, since it uses less digits than its factorization.

313213113021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26020576 (or 26020562 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313213113021000 its reverse (120311312313), we get a palindrome (313333424333313).

The spelling of 313213113021000 in words is "three hundred thirteen trillion, two hundred thirteen billion, one hundred thirteen million, twenty-one thousand".