13101130013121 has 20 divisors (see below), whose sum is σ = 19590220226500. Its totient is φ = 8725430439936.

The previous prime is 13101130013117. The next prime is 13101130013143. The reversal of 13101130013121 is 12131003110131.

13101130013121 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 300 + 1 + 31 + 21 = 666.

13101130013121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3321506250000 + 9779623763121 = 1822500^2 + 3127239^2 .

It is not a de Polignac number, because 13101130013121 - 2² = 13101130013117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101130013094 and 13101130013103.

It is not an unprimeable number, because it can be changed into a prime (13101130011121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80068096 + ... + 80231553.

It is an arithmetic number, because the mean of its divisors is an integer number (979511011325).

Almost surely, 2^{13101130013121} is an apocalyptic number.

It is an amenable number.

13101130013121 is a deficient number, since it is larger than the sum of its proper divisors (6489090213379).

13101130013121 is a wasteful number, since it uses less digits than its factorization.

13101130013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160300670 (or 160300661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13101130013121 its reverse (12131003110131), we get a palindrome (25232133123252).

The spelling of 13101130013121 in words is "thirteen trillion, one hundred one billion, one hundred thirty million, thirteen thousand, one hundred twenty-one".