313122102000 has 160 divisors (see below), whose sum is σ = 1012404993600. Its totient is φ = 83259417600.

The previous prime is 313122101987. The next prime is 313122102011. The reversal of 313122102000 is 201221313.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019234 + ... + 2168766.

It is an arithmetic number, because the mean of its divisors is an integer number (6327531210).

Almost surely, 2^313122102000 is an apocalyptic number.

313122102000 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 313122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506202496800).

313122102000 is an abundant number, since it is smaller than the sum of its proper divisors (699282891600).

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

313122102000 is a wasteful number, since it uses less digits than its factorization.

313122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149908 (or 149892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 313122102000 its reverse (201221313), we get a palindrome (313323323313).

It can be divided in two parts, 31312 and 2102000, that added together give a palindrome (2133312).

The spelling of 313122102000 in words is "three hundred thirteen billion, one hundred twenty-two million, one hundred two thousand".