1313113003101 has 24 divisors (see below), whose sum is σ = 1959077053440. Its totient is φ = 846661788000.

The previous prime is 1313113003079. The next prime is 1313113003121. The reversal of 1313113003101 is 1013003113131.

1313113003101 is a `hidden beast` number, since 1 + 313 + 11 + 30 + 0 + 310 + 1 = 666.

It is not a de Polignac number, because 1313113003101 - 2¹⁵ = 1313112970333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313113003121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944325 + ... + 1875626.

It is an arithmetic number, because the mean of its divisors is an integer number (81628210560).

Almost surely, 2^{1313113003101} is an apocalyptic number.

It is an amenable number.

1313113003101 is a deficient number, since it is larger than the sum of its proper divisors (645964050339).

1313113003101 is a wasteful number, since it uses less digits than its factorization.

1313113003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821657 (or 2821654 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1313113003101 its reverse (1013003113131), we get a palindrome (2326116116232).

The spelling of 1313113003101 in words is "one trillion, three hundred thirteen billion, one hundred thirteen million, three thousand, one hundred one".