130013212113133 has 8 divisors (see below), whose sum is σ = 130375872336960. Its totient is φ = 129650554703520.

The previous prime is 130013212113121. The next prime is 130013212113283. The reversal of 130013212113133 is 331311212310031.

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 130013212113133 - 2²⁵ = 130013178558701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130013212113098 and 130013212113107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013212183133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121259518 + ... + 122327008.

It is an arithmetic number, because the mean of its divisors is an integer number (16296984042120).

Almost surely, 2^{130013212113133} is an apocalyptic number.

It is an amenable number.

130013212113133 is a deficient number, since it is larger than the sum of its proper divisors (362660223827).

130013212113133 is a wasteful number, since it uses less digits than its factorization.

130013212113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407107.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 130013212113133 its reverse (331311212310031), we get a palindrome (461324424423164).

The spelling of 130013212113133 in words is "one hundred thirty trillion, thirteen billion, two hundred twelve million, one hundred thirteen thousand, one hundred thirty-three".