1313121313011 has 16 divisors (see below), whose sum is σ = 1765034841600. Its totient is φ = 868334480160.

The previous prime is 1313121312991. The next prime is 1313121313039. The reversal of 1313121313011 is 1103131213131.

It is not a de Polignac number, because 1313121313011 - 2¹⁰ = 1313121311987 is a prime.

It is a super-2 number, since 2×1313121313011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313121323011) 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, 2711461 + ... + 3158838.

It is an arithmetic number, because the mean of its divisors is an integer number (110314677600).

Almost surely, 2^{1313121313011} is an apocalyptic number.

1313121313011 is a deficient number, since it is larger than the sum of its proper divisors (451913528589).

1313121313011 is a wasteful number, since it uses less digits than its factorization.

1313121313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870906.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1313121313011 its reverse (1103131213131), we get a palindrome (2416252526142).

The spelling of 1313121313011 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, eleven".