1313130110101 has 8 divisors (see below), whose sum is σ = 1424284596504. Its totient is φ = 1205743572480.

The previous prime is 1313130110099. The next prime is 1313130110113. The reversal of 1313130110101 is 1010110313131.

It can be written as a sum of positive squares in 4 ways, for example, as 446370972100 + 866759138001 = 668110^2 + 930999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1313130110101 - 2¹ = 1313130110099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313130110401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941986470 + ... + 941987863.

It is an arithmetic number, because the mean of its divisors is an integer number (178035574563).

Almost surely, 2^{1313130110101} is an apocalyptic number.

It is an amenable number.

1313130110101 is a deficient number, since it is larger than the sum of its proper divisors (111154486403).

1313130110101 is a wasteful number, since it uses less digits than its factorization.

1313130110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883974391.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1313130110101 its reverse (1010110313131), we get a palindrome (2323240423232).

The spelling of 1313130110101 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, one hundred ten thousand, one hundred one".