103212021312013 has 32 divisors (see below), whose sum is σ = 107260438708224. Its totient is φ = 99211068000000.

The previous prime is 103212021311969. The next prime is 103212021312089. The reversal of 103212021312013 is 310213120212301.

It is a cyclic number.

It is not a de Polignac number, because 103212021312013 - 2³³ = 103203431377421 is a prime.

It is a super-2 number, since 2×103212021312013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212021312313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6949829038 + ... + 6949843888.

It is an arithmetic number, because the mean of its divisors is an integer number (3351888709632).

Almost surely, 2^{103212021312013} is an apocalyptic number.

It is an amenable number.

103212021312013 is a deficient number, since it is larger than the sum of its proper divisors (4048417396211).

103212021312013 is a wasteful number, since it uses less digits than its factorization.

103212021312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17617.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103212021312013 its reverse (310213120212301), we get a palindrome (413425141524314).

The spelling of 103212021312013 in words is "one hundred three trillion, two hundred twelve billion, twenty-one million, three hundred twelve thousand, thirteen".