10312313220000 has 720 divisors, whose sum is σ = 42328422968832. Its totient is φ = 2352890880000.

The previous prime is 10312313219969. The next prime is 10312313220043. The reversal of 10312313220000 is 2231321301.

10312313220000 is a `hidden beast` number, since 1 + 0 + 312 + 31 + 322 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33506817 + ... + 33813183.

Almost surely, 2^{10312313220000} is an apocalyptic number.

10312313220000 is a gapful number since it is divisible by the number (10) 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 10312313220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21164211484416).

10312313220000 is an abundant number, since it is smaller than the sum of its proper divisors (32016109748832).

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

10312313220000 is a wasteful number, since it uses less digits than its factorization.

10312313220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306431 (or 306405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10312313220000 its reverse (2231321301), we get a palindrome (10314544541301).

The spelling of 10312313220000 in words is "ten trillion, three hundred twelve billion, three hundred thirteen million, two hundred twenty thousand".