313113123213000 has 256 divisors, whose sum is σ = 1065745188967680. Its totient is φ = 75904646400000.

The previous prime is 313113123212999. The next prime is 313113123213013. The reversal of 313113123213000 is 312321311313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2928399540 + ... + 2928506460.

It is an arithmetic number, because the mean of its divisors is an integer number (4163067144405).

Almost surely, 2^{313113123213000} is an apocalyptic number.

313113123213000 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 313113123213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532872594483840).

313113123213000 is an abundant number, since it is smaller than the sum of its proper divisors (752632065754680).

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

313113123213000 is a wasteful number, since it uses less digits than its factorization.

313113123213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195697 (or 195683 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 313113123213000 its reverse (312321311313), we get a palindrome (313425444524313).

The spelling of 313113123213000 in words is "three hundred thirteen trillion, one hundred thirteen billion, one hundred twenty-three million, two hundred thirteen thousand".