13010100113133 has 12 divisors (see below), whose sum is σ = 18839230592988. Its totient is φ = 8651770646400.

The previous prime is 13010100113119. The next prime is 13010100113137. The reversal of 13010100113133 is 33131100101031.

It can be written as a sum of positive squares in 2 ways, for example, as 8372012394249 + 4638087718884 = 2893443^2 + 2153622^2 .

It is not a de Polignac number, because 13010100113133 - 2⁴ = 13010100113117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010100113137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1802448610 + ... + 1802455827.

It is an arithmetic number, because the mean of its divisors is an integer number (1569935882749).

Almost surely, 2^{13010100113133} is an apocalyptic number.

It is an amenable number.

13010100113133 is a deficient number, since it is larger than the sum of its proper divisors (5829130479855).

13010100113133 is a wasteful number, since it uses less digits than its factorization.

13010100113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604904844 (or 3604904841 counting only the distinct ones).

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

Adding to 13010100113133 its reverse (33131100101031), we get a palindrome (46141200214164).

The spelling of 13010100113133 in words is "thirteen trillion, ten billion, one hundred million, one hundred thirteen thousand, one hundred thirty-three".