10044132313033 has 16 divisors (see below), whose sum is σ = 12379013221120. Its totient is φ = 7936074501696.

The previous prime is 10044132313009. The next prime is 10044132313049. The reversal of 10044132313033 is 33031323144001.

It is a cyclic number.

It is not a de Polignac number, because 10044132313033 - 2⁵ = 10044132313001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10044132312992 and 10044132313010.

It is not an unprimeable number, because it can be changed into a prime (10044132313063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75845178 + ... + 75977491.

It is an arithmetic number, because the mean of its divisors is an integer number (773688326320).

Almost surely, 2^{10044132313033} is an apocalyptic number.

10044132313033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10044132313033 is a deficient number, since it is larger than the sum of its proper divisors (2334880908087).

10044132313033 is a wasteful number, since it uses less digits than its factorization.

10044132313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151823416.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 10044132313033 its reverse (33031323144001), we get a palindrome (43075455457034).

The spelling of 10044132313033 in words is "ten trillion, forty-four billion, one hundred thirty-two million, three hundred thirteen thousand, thirty-three".