201413101340 has 96 divisors (see below), whose sum is σ = 470450102976. Its totient is φ = 71819274240.

The previous prime is 201413101333. The next prime is 201413101343. The reversal of 201413101340 is 43101314102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201413101343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2742134 + ... + 2814626.

It is an arithmetic number, because the mean of its divisors is an integer number (4900521906).

Almost surely, 2^201413101340 is an apocalyptic number.

201413101340 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 201413101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235225051488).

201413101340 is an abundant number, since it is smaller than the sum of its proper divisors (269037001636).

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

201413101340 is a wasteful number, since it uses less digits than its factorization.

201413101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72759 (or 72757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201413101340 its reverse (43101314102), we get a palindrome (244514415442).

The spelling of 201413101340 in words is "two hundred one billion, four hundred thirteen million, one hundred one thousand, three hundred forty".