121003000312113 has 12 divisors (see below), whose sum is σ = 174782208231540. Its totient is φ = 80668622258016.

The previous prime is 121003000312079. The next prime is 121003000312153. The reversal of 121003000312113 is 311213000300121.

121003000312113 is a `hidden beast` number, since 1 + 210 + 0 + 30 + 0 + 0 + 312 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23206070983824 + 97796929328289 = 4817268^2 + 9889233^2 .

It is not a de Polignac number, because 121003000312113 - 2¹² = 121003000308017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121003000312153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25753495 + ... + 30087347.

It is an arithmetic number, because the mean of its divisors is an integer number (14565184019295).

Almost surely, 2^{121003000312113} is an apocalyptic number.

It is an amenable number.

121003000312113 is a deficient number, since it is larger than the sum of its proper divisors (53779207919427).

121003000312113 is a wasteful number, since it uses less digits than its factorization.

121003000312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436128 (or 7436125 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121003000312113 its reverse (311213000300121), we get a palindrome (432216000612234).

The spelling of 121003000312113 in words is "one hundred twenty-one trillion, three billion, three hundred twelve thousand, one hundred thirteen".