1313102321001 has 6 divisors (see below), whose sum is σ = 1896703352570. Its totient is φ = 875401547328.

The previous prime is 1313102320967. The next prime is 1313102321033. The reversal of 1313102321001 is 1001232013131.

1313102321001 is a `hidden beast` number, since 1 + 31 + 310 + 2 + 321 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1241388158976 + 71714162025 = 1114176^2 + 267795^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1313102321001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313102321081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72950128936 + ... + 72950128953.

Almost surely, 2^{1313102321001} is an apocalyptic number.

It is an amenable number.

1313102321001 is a deficient number, since it is larger than the sum of its proper divisors (583601031569).

1313102321001 is a wasteful number, since it uses less digits than its factorization.

1313102321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145900257895 (or 145900257892 counting only the distinct ones).

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

Adding to 1313102321001 its reverse (1001232013131), we get a palindrome (2314334334132).

The spelling of 1313102321001 in words is "one trillion, three hundred thirteen billion, one hundred two million, three hundred twenty-one thousand, one".