313461333000 has 320 divisors, whose sum is σ = 1102745358000. Its totient is φ = 83057270400.

The previous prime is 313461332983. The next prime is 313461333001. The reversal of 313461333000 is 333164313.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

313461333000 is a `hidden beast` number, since 3 + 1 + 346 + 13 + 3 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80873121924 + 232588211076 = 284382^2 + 482274^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=4710.

It is a super-2 number, since 2×313461333000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313461333001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1996568922 + ... + 1996569078.

Almost surely, 2^313461333000 is an apocalyptic number.

313461333000 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 313461333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551372679000).

313461333000 is an abundant number, since it is smaller than the sum of its proper divisors (789284025000).

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

313461333000 is an frugal number, since it uses more digits than its factorization.

313461333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313461333000 its reverse (333164313), we get a palindrome (313794497313).

It can be divided in two parts, 3134613 and 33000, that added together give a palindrome (3167613).

The spelling of 313461333000 in words is "three hundred thirteen billion, four hundred sixty-one million, three hundred thirty-three thousand".