10334433142131 has 48 divisors (see below), whose sum is σ = 16105668784128. Its totient is φ = 5877180321600.

The previous prime is 10334433142091. The next prime is 10334433142133. The reversal of 10334433142131 is 13124133443301.

It is not a de Polignac number, because 10334433142131 - 2¹⁷ = 10334433011059 is a prime.

It is a super-2 number, since 2×10334433142131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10334433142092 and 10334433142101.

It is not an unprimeable number, because it can be changed into a prime (10334433142133) 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 47 ways as a sum of consecutive naturals, for example, 25755676 + ... + 26153846.

It is an arithmetic number, because the mean of its divisors is an integer number (335534766336).

Almost surely, 2^{10334433142131} is an apocalyptic number.

10334433142131 is a deficient number, since it is larger than the sum of its proper divisors (5771235641997).

10334433142131 is a wasteful number, since it uses less digits than its factorization.

10334433142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399032 (or 399025 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 10334433142131 its reverse (13124133443301), we get a palindrome (23458566585432).

The spelling of 10334433142131 in words is "ten trillion, three hundred thirty-four billion, four hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-one".