3811262126133 has 192 divisors, whose sum is σ = 6606325813248. Its totient is φ = 1932196654080.

The previous prime is 3811262126083. The next prime is 3811262126171. The reversal of 3811262126133 is 3316212621183.

It is not a de Polignac number, because 3811262126133 - 2⁶ = 3811262126069 is a prime.

Its product of digits (62208) is a multiple of the sum of its prime factors (1152).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3811262126091 and 3811262126100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811262127133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7826000016 + ... + 7826000502.

It is an arithmetic number, because the mean of its divisors is an integer number (34407946944).

Almost surely, 2^{3811262126133} is an apocalyptic number.

3811262126133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3811262126133 is a deficient number, since it is larger than the sum of its proper divisors (2795063687115).

3811262126133 is a wasteful number, since it uses less digits than its factorization.

3811262126133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The spelling of 3811262126133 in words is "three trillion, eight hundred eleven billion, two hundred sixty-two million, one hundred twenty-six thousand, one hundred thirty-three".