201413141314102 has 16 divisors (see below), whose sum is σ = 319891769398080. Its totient is φ = 94782562983808.

The previous prime is 201413141314079. The next prime is 201413141314103.

201413141314102 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×201413141314102³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201413141314103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43762563 + ... + 48145489.

It is an arithmetic number, because the mean of its divisors is an integer number (19993235587380).

Almost surely, 2^{201413141314102} is an apocalyptic number.

201413141314102 is a deficient number, since it is larger than the sum of its proper divisors (118478628083978).

201413141314102 is a wasteful number, since it uses less digits than its factorization.

201413141314102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734535.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 201413141314102 in words is "two hundred one trillion, four hundred thirteen billion, one hundred forty-one million, three hundred fourteen thousand, one hundred two".