13101121301301 has 32 divisors (see below), whose sum is σ = 21856546467840. Its totient is φ = 7683942106800.

The previous prime is 13101121301293. The next prime is 13101121301321. The reversal of 13101121301301 is 10310312110131.

13101121301301 is a `hidden beast` number, since 1 + 31 + 0 + 11 + 21 + 301 + 301 = 666.

It is not a de Polignac number, because 13101121301301 - 2³ = 13101121301293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101121301321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711466915 + ... + 711485328.

It is an arithmetic number, because the mean of its divisors is an integer number (683017077120).

Almost surely, 2^{13101121301301} is an apocalyptic number.

13101121301301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101121301301 is a deficient number, since it is larger than the sum of its proper divisors (8755425166539).

13101121301301 is a wasteful number, since it uses less digits than its factorization.

13101121301301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422952294 (or 1422952288 counting only the distinct ones).

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

Adding to 13101121301301 its reverse (10310312110131), we get a palindrome (23411433411432).

The spelling of 13101121301301 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, three hundred one thousand, three hundred one".