201312010000 has 100 divisors (see below), whose sum is σ = 487982195712. Its totient is φ = 80428048000.

The previous prime is 201312009979. The next prime is 201312010013. The reversal of 201312010000 is 10213102.

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

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, 8618337 + ... + 8641663.

Almost surely, 2^201312010000 is an apocalyptic number.

201312010000 is a gapful number since it is divisible by the number (20) 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 201312010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243991097856).

201312010000 is an abundant number, since it is smaller than the sum of its proper divisors (286670185712).

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

201312010000 is an equidigital number, since it uses as much as digits as its factorization.

201312010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24218 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201312010000 its reverse (10213102), we get a palindrome (201322223102).

The spelling of 201312010000 in words is "two hundred one billion, three hundred twelve million, ten thousand".