313011013200 has 120 divisors (see below), whose sum is σ = 1004060611008. Its totient is φ = 83354557440.

The previous prime is 313011013199. The next prime is 313011013261. The reversal of 313011013200 is 2310110313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313011013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693004 + ... + 1051796.

Almost surely, 2^313011013200 is an apocalyptic number.

313011013200 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 313011013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502030305504).

313011013200 is an abundant number, since it is smaller than the sum of its proper divisors (691049597808).

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

313011013200 is a wasteful number, since it uses less digits than its factorization.

313011013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359541 (or 359530 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 313011013200 its reverse (2310110313), we get a palindrome (315321123513).

The spelling of 313011013200 in words is "three hundred thirteen billion, eleven million, thirteen thousand, two hundred".