10141334431033 has 32 divisors (see below), whose sum is σ = 11513294704800. Its totient is φ = 8866287446016.

The previous prime is 10141334431027. The next prime is 10141334431051. The reversal of 10141334431033 is 33013443314101.

It is a happy number.

10141334431033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 768203166784 + 9373131264249 = 876472^2 + 3061557^2 .

It is not a de Polignac number, because 10141334431033 - 2¹⁷ = 10141334299961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10141334430986 and 10141334431004.

It is not an unprimeable number, because it can be changed into a prime (10141334431133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117784923 + ... + 117870991.

It is an arithmetic number, because the mean of its divisors is an integer number (359790459525).

Almost surely, 2^{10141334431033} is an apocalyptic number.

10141334431033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10141334431033 is a deficient number, since it is larger than the sum of its proper divisors (1371960273767).

10141334431033 is a wasteful number, since it uses less digits than its factorization.

10141334431033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92061.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 10141334431033 its reverse (33013443314101), we get a palindrome (43154777745134).

The spelling of 10141334431033 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-four million, four hundred thirty-one thousand, thirty-three".