102512013 has 24 divisors (see below), whose sum is σ = 145157376. Its totient is φ = 64310400.

The previous prime is 102511999. The next prime is 102512021. The reversal of 102512013 is 310215201.

It is not a de Polignac number, because 102512013 - 2⁶ = 102511949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102511983 and 102512001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102512093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102948 + ... + 103938.

It is an arithmetic number, because the mean of its divisors is an integer number (6048224).

Almost surely, 2^102512013 is an apocalyptic number.

It is an amenable number.

102512013 is a deficient number, since it is larger than the sum of its proper divisors (42645363).

102512013 is an equidigital number, since it uses as much as digits as its factorization.

102512013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102512013 is about 10124.8216280584. The cubic root of 102512013 is about 468.0133634507.

Adding to 102512013 its reverse (310215201), we get a palindrome (412727214).

The spelling of 102512013 in words is "one hundred two million, five hundred twelve thousand, thirteen".