102012300013 has 6 divisors (see below), whose sum is σ = 110463023274. Its totient is φ = 94165199856.

The previous prime is 102012299971. The next prime is 102012300017. The reversal of 102012300013 is 310003210201.

It can be written as a sum of positive squares in 3 ways, for example, as 7402537444 + 94609762569 = 86038^2 + 307587^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102012300013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102012299966 and 102012300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012300017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301811370 + ... + 301811707.

It is an arithmetic number, because the mean of its divisors is an integer number (18410503879).

Almost surely, 2^102012300013 is an apocalyptic number.

102012300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102012300013 is a deficient number, since it is larger than the sum of its proper divisors (8450723261).

102012300013 is an equidigital number, since it uses as much as digits as its factorization.

102012300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603623103 (or 603623090 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102012300013 its reverse (310003210201), we get a palindrome (412015510214).

The spelling of 102012300013 in words is "one hundred two billion, twelve million, three hundred thousand, thirteen".