102012340144013 has 16 divisors (see below), whose sum is σ = 109965201964800. Its totient is φ = 94074625532160.

The previous prime is 102012340143947. The next prime is 102012340144037. The reversal of 102012340144013 is 310441043210201.

It is not a de Polignac number, because 102012340144013 - 2¹⁰ = 102012340142989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012340164013) 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 15 ways as a sum of consecutive naturals, for example, 62446928 + ... + 64059686.

It is an arithmetic number, because the mean of its divisors is an integer number (6872825122800).

Almost surely, 2^{102012340144013} is an apocalyptic number.

102012340144013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102012340144013 is a deficient number, since it is larger than the sum of its proper divisors (7952861820787).

102012340144013 is a wasteful number, since it uses less digits than its factorization.

102012340144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617452.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 102012340144013 its reverse (310441043210201), we get a palindrome (412453383354214).

The spelling of 102012340144013 in words is "one hundred two trillion, twelve billion, three hundred forty million, one hundred forty-four thousand, thirteen".