13101310111121 has 4 divisors (see below), whose sum is σ = 13101318200100. Its totient is φ = 13101302022144.

The previous prime is 13101310111117. The next prime is 13101310111139. The reversal of 13101310111121 is 12111101310131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7111347557521 + 5989962553600 = 2666711^2 + 2447440^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101310111121 - 2² = 13101310111117 is a prime.

It is a super-2 number, since 2×13101310111121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101310111121.

It is not an unprimeable number, because it can be changed into a prime (13101310111111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 684656 + ... + 5164433.

It is an arithmetic number, because the mean of its divisors is an integer number (3275329550025).

Almost surely, 2^{13101310111121} is an apocalyptic number.

It is an amenable number.

13101310111121 is a deficient number, since it is larger than the sum of its proper divisors (8088979).

13101310111121 is an equidigital number, since it uses as much as digits as its factorization.

13101310111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088978.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 13101310111121 its reverse (12111101310131), we get a palindrome (25212411421252).

The spelling of 13101310111121 in words is "thirteen trillion, one hundred one billion, three hundred ten million, one hundred eleven thousand, one hundred twenty-one".