1313201101122 has 12 divisors (see below), whose sum is σ = 2845269052470. Its totient is φ = 437733700368.

The previous prime is 1313201101117. The next prime is 1313201101129. The reversal of 1313201101122 is 2211011023131.

It can be written as a sum of positive squares in only one way, i.e., 723437003601 + 589764097521 = 850551^2 + 767961^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 72955616729 = 1313201101122 / (1 + 3 + 1 + 3 + 2 + 0 + 1 + 1 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1313201101095 and 1313201101104.

It is not an unprimeable number, because it can be changed into a prime (1313201101129) 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, 36477808347 + ... + 36477808382.

Almost surely, 2^{1313201101122} is an apocalyptic number.

1313201101122 is an abundant number, since it is smaller than the sum of its proper divisors (1532067951348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313201101122 is a wasteful number, since it uses less digits than its factorization.

1313201101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72955616737 (or 72955616734 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1313201101122 its reverse (2211011023131), we get a palindrome (3524212124253).

The spelling of 1313201101122 in words is "one trillion, three hundred thirteen billion, two hundred one million, one hundred one thousand, one hundred twenty-two".