103212112013 has 16 divisors (see below), whose sum is σ = 108118112256. Its totient is φ = 98341689600.

The previous prime is 103212111997. The next prime is 103212112021. The reversal of 103212112013 is 310211212301.

It is a cyclic number.

It is not a de Polignac number, because 103212112013 - 2⁴ = 103212111997 is a prime.

It is a super-3 number, since 3×103212112013³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103212111982 and 103212112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212112513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6974420 + ... + 6989202.

It is an arithmetic number, because the mean of its divisors is an integer number (6757382016).

Almost surely, 2^103212112013 is an apocalyptic number.

It is an amenable number.

103212112013 is a deficient number, since it is larger than the sum of its proper divisors (4906000243).

103212112013 is a wasteful number, since it uses less digits than its factorization.

103212112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103212112013 its reverse (310211212301), we get a palindrome (413423324314).

The spelling of 103212112013 in words is "one hundred three billion, two hundred twelve million, one hundred twelve thousand, thirteen".