13101130013033 has 8 divisors (see below), whose sum is σ = 13872037919400. Its totient is φ = 12330250240000.

The previous prime is 13101130013029. The next prime is 13101130013051. The reversal of 13101130013033 is 33031003110131.

It can be written as a sum of positive squares in 4 ways, for example, as 4092800086489 + 9008329926544 = 2023067^2 + 3001388^2 .

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 13101130013033 - 2² = 13101130013029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101130012996 and 13101130013014.

It is not an unprimeable number, because it can be changed into a prime (13101130063033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6070808 + ... + 7940841.

It is an arithmetic number, because the mean of its divisors is an integer number (1734004739925).

Almost surely, 2^{13101130013033} is an apocalyptic number.

It is an amenable number.

13101130013033 is a deficient number, since it is larger than the sum of its proper divisors (770907906367).

13101130013033 is a wasteful number, since it uses less digits than its factorization.

13101130013033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14066667.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13101130013033 its reverse (33031003110131), we get a palindrome (46132133123164).

The spelling of 13101130013033 in words is "thirteen trillion, one hundred one billion, one hundred thirty million, thirteen thousand, thirty-three".