201301000 has 64 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 78788800.

The previous prime is 201300997. The next prime is 201301003. The reversal of 201301000 is 103102.

It is an interprime number because it is at equal distance from previous prime (201300997) and next prime (201301003).

It is not an unprimeable number, because it can be changed into a prime (201301003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44859 + ... + 49141.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^201301000 is an apocalyptic number.

201301000 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 201301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

201301000 is an abundant number, since it is smaller than the sum of its proper divisors (279877880).

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

201301000 is a wasteful number, since it uses less digits than its factorization.

201301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 201301000 is about 14188.0583590567. The cubic root of 201301000 is about 586.0688570091.

Adding to 201301000 its reverse (103102), we get a palindrome (201404102).

The spelling of 201301000 in words is "two hundred one million, three hundred one thousand".