10126013918033 has 16 divisors (see below), whose sum is σ = 11137131452160. Its totient is φ = 9148073062656.

The previous prime is 10126013917991. The next prime is 10126013918047. The reversal of 10126013918033 is 33081931062101.

It is a cyclic number.

It is not a de Polignac number, because 10126013918033 - 2⁸ = 10126013917777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10126013918093) 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 15 ways as a sum of consecutive naturals, for example, 73378766 + ... + 73516632.

It is an arithmetic number, because the mean of its divisors is an integer number (696070715760).

Almost surely, 2^{10126013918033} is an apocalyptic number.

10126013918033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10126013918033 is a deficient number, since it is larger than the sum of its proper divisors (1011117534127).

10126013918033 is a wasteful number, since it uses less digits than its factorization.

10126013918033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258136.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 10126013918033 in words is "ten trillion, one hundred twenty-six billion, thirteen million, nine hundred eighteen thousand, thirty-three".