313928010000 has 1200 divisors, whose sum is σ = 1266143104512. Its totient is φ = 71884800000.

The previous prime is 313928009963. The next prime is 313928010001. The reversal of 313928010000 is 10829313.

It is a tau number, because it is divible by the number of its divisors (1200).

It is not an unprimeable number, because it can be changed into a prime (313928010001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1626569904 + ... + 1626570096.

Almost surely, 2^313928010000 is an apocalyptic number.

313928010000 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 313928010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633071552256).

313928010000 is an abundant number, since it is smaller than the sum of its proper divisors (952215094512).

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

313928010000 is a wasteful number, since it uses less digits than its factorization.

313928010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 313928010000 its reverse (10829313), we get a palindrome (313938839313).

The spelling of 313928010000 in words is "three hundred thirteen billion, nine hundred twenty-eight million, ten thousand".