1313102221313 has 16 divisors (see below), whose sum is σ = 1388792692800. Its totient is φ = 1238083292160.

The previous prime is 1313102221309. The next prime is 1313102221373. The reversal of 1313102221313 is 3131222013131.

It is a cyclic number.

It is not a de Polignac number, because 1313102221313 - 2² = 1313102221309 is a prime.

It is a super-3 number, since 3×1313102221313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313102221373) 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, 3306458 + ... + 3682236.

It is an arithmetic number, because the mean of its divisors is an integer number (86799543300).

Almost surely, 2^{1313102221313} is an apocalyptic number.

It is an amenable number.

1313102221313 is a deficient number, since it is larger than the sum of its proper divisors (75690471487).

1313102221313 is a wasteful number, since it uses less digits than its factorization.

1313102221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376672.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1313102221313 its reverse (3131222013131), we get a palindrome (4444324234444).

The spelling of 1313102221313 in words is "one trillion, three hundred thirteen billion, one hundred two million, two hundred twenty-one thousand, three hundred thirteen".