313120242000 has 200 divisors, whose sum is σ = 1131014093352. Its totient is φ = 83498688000.

The previous prime is 313120241983. The next prime is 313120242011. The reversal of 313120242000 is 242021313.

It can be written as a sum of positive squares in 4 ways, for example, as 65092337424 + 248027904576 = 255132^2 + 498024^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804421 + ... + 1128420.

Almost surely, 2^313120242000 is an apocalyptic number.

313120242000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313120242000 is an abundant number, since it is smaller than the sum of its proper divisors (817893851352).

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

313120242000 is a wasteful number, since it uses less digits than its factorization.

313120242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932876 (or 1932851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 313120242000 its reverse (242021313), we get a palindrome (313362263313).

The spelling of 313120242000 in words is "three hundred thirteen billion, one hundred twenty million, two hundred forty-two thousand".