103121133313 has 32 divisors (see below), whose sum is σ = 118965635712. Its totient is φ = 88540569600.

The previous prime is 103121133251. The next prime is 103121133337. The reversal of 103121133313 is 313331121301.

It is a cyclic number.

It is not a de Polignac number, because 103121133313 - 2²⁹ = 102584262401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103121833313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167881 + ... + 2214937.

It is an arithmetic number, because the mean of its divisors is an integer number (3717676116).

Almost surely, 2^103121133313 is an apocalyptic number.

It is an amenable number.

103121133313 is a deficient number, since it is larger than the sum of its proper divisors (15844502399).

103121133313 is a wasteful number, since it uses less digits than its factorization.

103121133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47265.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 103121133313 its reverse (313331121301), we get a palindrome (416452254614).

The spelling of 103121133313 in words is "one hundred three billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred thirteen".