201413505314102 has 16 divisors (see below), whose sum is σ = 316520790254592. Its totient is φ = 96003548510760.

The previous prime is 201413505314093. The next prime is 201413505314221.

201413505314102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24243316178 + ... + 24243324485.

It is an arithmetic number, because the mean of its divisors is an integer number (19782549390912).

Almost surely, 2^{201413505314102} is an apocalyptic number.

201413505314102 is a deficient number, since it is larger than the sum of its proper divisors (115107284940490).

201413505314102 is a wasteful number, since it uses less digits than its factorization.

201413505314102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486640763.

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 20141350 and 5314102, that added together give a palindrome (25455452).

The spelling of 201413505314102 in words is "two hundred one trillion, four hundred thirteen billion, five hundred five million, three hundred fourteen thousand, one hundred two".