10312110000 has 500 divisors, whose sum is σ = 38669809200. Its totient is φ = 2649024000.

The previous prime is 10312109993. The next prime is 10312110023. The reversal of 10312110000 is 1121301.

10312110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×10312110000² (a number of 21 digits) contains 22 as substring.

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 99 ways as a sum of consecutive naturals, for example, 23489781 + ... + 23490219.

Almost surely, 2^10312110000 is an apocalyptic number.

10312110000 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 10312110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334904600).

10312110000 is an abundant number, since it is smaller than the sum of its proper divisors (28357699200).

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

10312110000 is an equidigital number, since it uses as much as digits as its factorization.

10312110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 478 counting only the distinct ones).

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

Adding to 10312110000 its reverse (1121301), we get a palindrome (10313231301).

The spelling of 10312110000 in words is "ten billion, three hundred twelve million, one hundred ten thousand".