201003002013000 has 512 divisors, whose sum is σ = 693676156193280. Its totient is φ = 48049182720000.

The previous prime is 201003002012983. The next prime is 201003002013013. The reversal of 201003002013000 is 310200300102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14976746290 + ... + 14976759710.

It is an arithmetic number, because the mean of its divisors is an integer number (1354836242565).

Almost surely, 2^{201003002013000} is an apocalyptic number.

201003002013000 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 201003002013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346838078096640).

201003002013000 is an abundant number, since it is smaller than the sum of its proper divisors (492673154180280).

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

201003002013000 is a wasteful number, since it uses less digits than its factorization.

201003002013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19746 (or 19732 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201003002013000 its reverse (310200300102), we get a palindrome (201313202313102).

The spelling of 201003002013000 in words is "two hundred one trillion, three billion, two million, thirteen thousand".