10340311013000 has 128 divisors (see below), whose sum is σ = 25752393594720. Its totient is φ = 3872651673600.

The previous prime is 10340311012991. The next prime is 10340311013003. The reversal of 10340311013000 is 31011304301.

It can be written as a sum of positive squares in 16 ways, for example, as 28595486404 + 10311715526596 = 169102^2 + 3211186^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10340311013000.

It is not an unprimeable number, because it can be changed into a prime (10340311013003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705214 + ... + 4856786.

Almost surely, 2^{10340311013000} is an apocalyptic number.

10340311013000 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 10340311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876196797360).

10340311013000 is an abundant number, since it is smaller than the sum of its proper divisors (15412082581720).

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

10340311013000 is a wasteful number, since it uses less digits than its factorization.

10340311013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151804 (or 3151790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10340311013000 its reverse (31011304301), we get a palindrome (10371322317301).

The spelling of 10340311013000 in words is "ten trillion, three hundred forty billion, three hundred eleven million, thirteen thousand".