1313131010321 has 8 divisors (see below), whose sum is σ = 1415742619200. Its totient is φ = 1210748191632.

The previous prime is 1313131010309. The next prime is 1313131010369. The reversal of 1313131010321 is 1230101313131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1313131010321 - 2¹⁰ = 1313131009297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313131010293 and 1313131010302.

It is not an unprimeable number, because it can be changed into a prime (1313131010371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57185621 + ... + 57208578.

It is an arithmetic number, because the mean of its divisors is an integer number (176967827400).

Almost surely, 2^{1313131010321} is an apocalyptic number.

It is an amenable number.

1313131010321 is a deficient number, since it is larger than the sum of its proper divisors (102611608879).

1313131010321 is a wasteful number, since it uses less digits than its factorization.

1313131010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114395095.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1313131010321 its reverse (1230101313131), we get a palindrome (2543232323452).

The spelling of 1313131010321 in words is "one trillion, three hundred thirteen billion, one hundred thirty-one million, ten thousand, three hundred twenty-one".