13100266286041 has 27 divisors (see below), whose sum is σ = 14461656603807. Its totient is φ = 11858118066960.

The previous prime is 13100266286011. The next prime is 13100266286059. The reversal of 13100266286041 is 14068266200131.

It is a happy number.

The square root of 13100266286041 is 3619429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12394659566025 + 705606720016 = 3520605^2 + 840004^2 .

It is not a de Polignac number, because 13100266286041 - 2¹⁵ = 13100266253273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100266285985 and 13100266286003.

It is not an unprimeable number, because it can be changed into a prime (13100266286011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11665419106 + ... + 11665420228.

Almost surely, 2^{13100266286041} is an apocalyptic number.

13100266286041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13100266286041 is the 3619429-th square number.

13100266286041 is the 1809715-th centered octagonal number.

It is an amenable number.

13100266286041 is a deficient number, since it is larger than the sum of its proper divisors (1361390317766).

13100266286041 is an frugal number, since it uses more digits than its factorization.

13100266286041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 13100266286041 in words is "thirteen trillion, one hundred billion, two hundred sixty-six million, two hundred eighty-six thousand, forty-one".