201413101300 has 18 divisors (see below), whose sum is σ = 437066430038. Its totient is φ = 80565240480.

The previous prime is 201413101277. The next prime is 201413101301. The reversal of 201413101300 is 3101314102.

201413101300 is digitally balanced in base 3, 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 3 ways, for example, as 9816053776 + 191597047524 = 99076^2 + 437718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201413101301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007065407 + ... + 1007065606.

Almost surely, 2^201413101300 is an apocalyptic number.

201413101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201413101300 is an abundant number, since it is smaller than the sum of its proper divisors (235653328738).

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

201413101300 is a wasteful number, since it uses less digits than its factorization.

201413101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014131027 (or 2014131020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201413101300 its reverse (3101314102), we get a palindrome (204514415402).

The spelling of 201413101300 in words is "two hundred one billion, four hundred thirteen million, one hundred one thousand, three hundred".