1313011231001 has 12 divisors (see below), whose sum is σ = 1344410750448. Its totient is φ = 1282328924184.

The previous prime is 1313011230977. The next prime is 1313011231043. The reversal of 1313011231001 is 1001321103131.

It is a de Polignac number, because none of the positive numbers 2^k-1313011231001 is a prime.

It is a super-2 number, since 2×1313011231001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313011251001) 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 11 ways as a sum of consecutive naturals, for example, 18311846 + ... + 18383408.

It is an arithmetic number, because the mean of its divisors is an integer number (112034229204).

Almost surely, 2^{1313011231001} is an apocalyptic number.

It is an amenable number.

1313011231001 is a deficient number, since it is larger than the sum of its proper divisors (31399519447).

1313011231001 is an frugal number, since it uses more digits than its factorization.

1313011231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81572 (or 81529 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1313011231001 its reverse (1001321103131), we get a palindrome (2314332334132).

The spelling of 1313011231001 in words is "one trillion, three hundred thirteen billion, eleven million, two hundred thirty-one thousand, one".