105263662533133 has 4 divisors (see below), whose sum is σ = 113360867343388. Its totient is φ = 97166457722880.

The previous prime is 105263662533121. The next prime is 105263662533179. The reversal of 105263662533133 is 331335266362501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 72429410239209 + 32834252293924 = 8510547^2 + 5730118^2 .

It is not a de Polignac number, because 105263662533133 - 2¹³ = 105263662524941 is a prime.

It is a super-2 number, since 2×105263662533133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263662533103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4048602405108 + ... + 4048602405133.

It is an arithmetic number, because the mean of its divisors is an integer number (28340216835847).

Almost surely, 2^{105263662533133} is an apocalyptic number.

105263662533133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105263662533133 is a deficient number, since it is larger than the sum of its proper divisors (8097204810255).

105263662533133 is an equidigital number, since it uses as much as digits as its factorization.

105263662533133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097204810254.

The product of its (nonzero) digits is 5248800, while the sum is 49.

The spelling of 105263662533133 in words is "one hundred five trillion, two hundred sixty-three billion, six hundred sixty-two million, five hundred thirty-three thousand, one hundred thirty-three".