1313101011001 has 16 divisors (see below), whose sum is σ = 1468674144000. Its totient is φ = 1166197143168.

The previous prime is 1313101010989. The next prime is 1313101011011. The reversal of 1313101011001 is 1001101013131.

It is a cyclic number.

It is not a de Polignac number, because 1313101011001 - 2⁹ = 1313101010489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313101011011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18176676 + ... + 18248773.

It is an arithmetic number, because the mean of its divisors is an integer number (91792134000).

Almost surely, 2^{1313101011001} is an apocalyptic number.

It is an amenable number.

1313101011001 is a deficient number, since it is larger than the sum of its proper divisors (155573132999).

1313101011001 is a wasteful number, since it uses less digits than its factorization.

1313101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36425568.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1313101011001 its reverse (1001101013131), we get a palindrome (2314202024132).

The spelling of 1313101011001 in words is "one trillion, three hundred thirteen billion, one hundred one million, eleven thousand, one".