102413303314201 has 6 divisors (see below), whose sum is σ = 112569994552106. Its totient is φ = 93103003012800.

The previous prime is 102413303314139. The next prime is 102413303314213.

102413303314201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 100020481048576 + 2392822265625 = 10001024^2 + 1546875^2 .

It is not a de Polignac number, because 102413303314201 - 2¹¹ = 102413303312153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102413303314201.

It is not an unprimeable number, because it can be changed into a prime (102413303314261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 423195468120 + ... + 423195468361.

Almost surely, 2^{102413303314201} is an apocalyptic number.

102413303314201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102413303314201 is a deficient number, since it is larger than the sum of its proper divisors (10156691237905).

102413303314201 is an equidigital number, since it uses as much as digits as its factorization.

102413303314201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846390936503 (or 846390936492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 10241330 and 3314201, that added together give a palindrome (13555531).

The spelling of 102413303314201 in words is "one hundred two trillion, four hundred thirteen billion, three hundred three million, three hundred fourteen thousand, two hundred one".