201413100042 has 96 divisors (see below), whose sum is σ = 564228048384. Its totient is φ = 52315081200.

The previous prime is 201413100037. The next prime is 201413100043. The reversal of 201413100042 is 240001314102.

201413100042 is a `hidden beast` number, since 201 + 413 + 10 + 0 + 0 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201413099988 and 201413100024.

It is not an unprimeable number, because it can be changed into a prime (201413100043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653684 + ... + 2728527.

It is an arithmetic number, because the mean of its divisors is an integer number (5877375504).

Almost surely, 2^201413100042 is an apocalyptic number.

201413100042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201413100042 is an abundant number, since it is smaller than the sum of its proper divisors (362814948342).

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

201413100042 is a wasteful number, since it uses less digits than its factorization.

201413100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382246 (or 5382234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201413100042 its reverse (240001314102), we get a palindrome (441414414144).

The spelling of 201413100042 in words is "two hundred one billion, four hundred thirteen million, one hundred thousand, forty-two".