121312300213 has 16 divisors (see below), whose sum is σ = 133473898096. Its totient is φ = 109574000640.

The previous prime is 121312300201. The next prime is 121312300261. The reversal of 121312300213 is 312003213121.

It can be written as a sum of positive squares in 8 ways, for example, as 28495803249 + 92816496964 = 168807^2 + 304658^2 .

It is not a de Polignac number, because 121312300213 - 2²⁹ = 120775429301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121312300273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243270 + ... + 549367.

It is an arithmetic number, because the mean of its divisors is an integer number (8342118631).

Almost surely, 2^121312300213 is an apocalyptic number.

121312300213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121312300213 is a deficient number, since it is larger than the sum of its proper divisors (12161597883).

121312300213 is a wasteful number, since it uses less digits than its factorization.

121312300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792904.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 121312300213 its reverse (312003213121), we get a palindrome (433315513334).

The spelling of 121312300213 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred thousand, two hundred thirteen".