10312011000000 has 1176 divisors, whose sum is σ = 38377519698960. Its totient is φ = 2645222400000.

The previous prime is 10312010999993. The next prime is 10312011000013. The reversal of 10312011000000 is 11021301.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 167 ways as a sum of consecutive naturals, for example, 57608999911 + ... + 57609000089.

Almost surely, 2^{10312011000000} is an apocalyptic number.

10312011000000 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 10312011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188759849480).

10312011000000 is an abundant number, since it is smaller than the sum of its proper divisors (28065508698960).

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

10312011000000 is an equidigital number, since it uses as much as digits as its factorization.

10312011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10312011000000 its reverse (11021301), we get a palindrome (10312022021301).

The spelling of 10312011000000 in words is "ten trillion, three hundred twelve billion, eleven million", and thus it is an aban number.