13121133201011 has 32 divisors (see below), whose sum is σ = 14590500350976. Its totient is φ = 11700478800000.

The previous prime is 13121133200977. The next prime is 13121133201049. The reversal of 13121133201011 is 11010233112131.

It is a cyclic number.

It is not a de Polignac number, because 13121133201011 - 2³⁰ = 13120059459187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121133200011) 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, 62470010 + ... + 62679696.

It is an arithmetic number, because the mean of its divisors is an integer number (455953135968).

Almost surely, 2^{13121133201011} is an apocalyptic number.

13121133201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13121133201011 is a deficient number, since it is larger than the sum of its proper divisors (1469367149965).

13121133201011 is a wasteful number, since it uses less digits than its factorization.

13121133201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210323.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13121133201011 its reverse (11010233112131), we get a palindrome (24131366313142).

The spelling of 13121133201011 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, two hundred one thousand, eleven".