201413132100 has 864 divisors, whose sum is σ = 723891168000. Its totient is φ = 46568079360.

The previous prime is 201413132099. The next prime is 201413132131. The reversal of 201413132100 is 1231314102.

201413132100 is a `hidden beast` number, since 2 + 0 + 141 + 313 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1847826846 + ... + 1847826954.

It is an arithmetic number, because the mean of its divisors is an integer number (837837000).

Almost surely, 2^201413132100 is an apocalyptic number.

201413132100 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 201413132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361945584000).

201413132100 is an abundant number, since it is smaller than the sum of its proper divisors (522478035900).

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

201413132100 is a wasteful number, since it uses less digits than its factorization.

201413132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201413132100 its reverse (1231314102), we get a palindrome (202644446202).

The spelling of 201413132100 in words is "two hundred one billion, four hundred thirteen million, one hundred thirty-two thousand, one hundred".