10311240000000 has 640 divisors, whose sum is σ = 35533174659840. Its totient is φ = 2653952000000.

The previous prime is 10311239999947. The next prime is 10311240000001. The reversal of 10311240000000 is 4211301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10311240000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3479998519 + ... + 3480001481.

It is an arithmetic number, because the mean of its divisors is an integer number (55520585406).

Almost surely, 2^{10311240000000} is an apocalyptic number.

10311240000000 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 10311240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766587329920).

10311240000000 is an abundant number, since it is smaller than the sum of its proper divisors (25221934659840).

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

10311240000000 is an frugal number, since it uses more digits than its factorization.

10311240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10311240000000 its reverse (4211301), we get a palindrome (10311244211301).

The spelling of 10311240000000 in words is "ten trillion, three hundred eleven billion, two hundred forty million", and thus it is an aban number.