1006318010000 has 50 divisors (see below), whose sum is σ = 2436396558222. Its totient is φ = 402527200000.

The previous prime is 1006318009927. The next prime is 1006318010023. The reversal of 1006318010000 is 108136001.

1006318010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 216295685776 + 790022324224 = 465076^2 + 888832^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50305901 + ... + 50325900.

Almost surely, 2^{1006318010000} is an apocalyptic number.

1006318010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006318010000 is an abundant number, since it is smaller than the sum of its proper divisors (1430078548222).

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

1006318010000 is an equidigital number, since it uses as much as digits as its factorization.

1006318010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100631829 (or 100631808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1006318010000 in words is "one trillion, six billion, three hundred eighteen million, ten thousand".