103200131313 has 24 divisors (see below), whose sum is σ = 155571823680. Its totient is φ = 65798710560.

The previous prime is 103200131311. The next prime is 103200131329. The reversal of 103200131313 is 313131002301.

It is a happy number.

103200131313 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 1 + 31 + 313 = 666.

It is not a de Polignac number, because 103200131313 - 2¹ = 103200131311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103200131311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459803 + ... + 1528863.

It is an arithmetic number, because the mean of its divisors is an integer number (6482159320).

Almost surely, 2^103200131313 is an apocalyptic number.

It is an amenable number.

103200131313 is a deficient number, since it is larger than the sum of its proper divisors (52371692367).

103200131313 is a wasteful number, since it uses less digits than its factorization.

103200131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76309 (or 76306 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103200131313 its reverse (313131002301), we get a palindrome (416331133614).

The spelling of 103200131313 in words is "one hundred three billion, two hundred million, one hundred thirty-one thousand, three hundred thirteen".