10311310000 has 100 divisors (see below), whose sum is σ = 25014805200. Its totient is φ = 4116256000.

The previous prime is 10311309979. The next prime is 10311310039. The reversal of 10311310000 is 1311301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10311310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8389386 + ... + 8390614.

It is an arithmetic number, because the mean of its divisors is an integer number (250148052).

Almost surely, 2^10311310000 is an apocalyptic number.

10311310000 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 10311310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507402600).

10311310000 is an abundant number, since it is smaller than the sum of its proper divisors (14703495200).

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

10311310000 is an equidigital number, since it uses as much as digits as its factorization.

10311310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10311310000 its reverse (1311301), we get a palindrome (10312621301).

The spelling of 10311310000 in words is "ten billion, three hundred eleven million, three hundred ten thousand".