13331101300129 has 2 divisors, whose sum is σ = 13331101300130. Its totient is φ = 13331101300128.

The previous prime is 13331101300103. The next prime is 13331101300171. The reversal of 13331101300129 is 92100310113331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13322354000400 + 8747299729 = 3649980^2 + 93527^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331101300129 - 2²⁷ = 13330967082401 is a prime.

It is a super-2 number, since 2×13331101300129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13331101300097 and 13331101300106.

It is not a weakly prime, because it can be changed into another prime (13331101340129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665550650064 + 6665550650065.

It is an arithmetic number, because the mean of its divisors is an integer number (6665550650065).

Almost surely, 2^{13331101300129} is an apocalyptic number.

It is an amenable number.

13331101300129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331101300129 is an equidigital number, since it uses as much as digits as its factorization.

13331101300129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 13331101300129 in words is "thirteen trillion, three hundred thirty-one billion, one hundred one million, three hundred thousand, one hundred twenty-nine".