103212513 has 24 divisors (see below), whose sum is σ = 153561408. Its totient is φ = 66763872.

The previous prime is 103212493. The next prime is 103212563. The reversal of 103212513 is 315212301.

It is not a de Polignac number, because 103212513 - 2¹⁰ = 103211489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103212563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63831 + ... + 65427.

It is an arithmetic number, because the mean of its divisors is an integer number (6398392).

Almost surely, 2^103212513 is an apocalyptic number.

It is an amenable number.

103212513 is a deficient number, since it is larger than the sum of its proper divisors (50348895).

103212513 is a wasteful number, since it uses less digits than its factorization.

103212513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103212513 is about 10159.3559343100. The cubic root of 103212513 is about 469.0769767708.

Adding to 103212513 its reverse (315212301), we get a palindrome (418424814).

The spelling of 103212513 in words is "one hundred three million, two hundred twelve thousand, five hundred thirteen".