10312311247700 has 288 divisors, whose sum is σ = 28003795642368. Its totient is φ = 3202234560000.

The previous prime is 10312311247699. The next prime is 10312311247729. The reversal of 10312311247700 is 774211321301.

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 95 ways as a sum of consecutive naturals, for example, 2628677939 + ... + 2628681861.

It is an arithmetic number, because the mean of its divisors is an integer number (97235401536).

Almost surely, 2^{10312311247700} is an apocalyptic number.

10312311247700 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 10312311247700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001897821184).

10312311247700 is an abundant number, since it is smaller than the sum of its proper divisors (17691484394668).

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

10312311247700 is a wasteful number, since it uses less digits than its factorization.

10312311247700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 10312311247700 in words is "ten trillion, three hundred twelve billion, three hundred eleven million, two hundred forty-seven thousand, seven hundred".