350131005133 has 24 divisors (see below), whose sum is σ = 449323875000. Its totient is φ = 270269959680.

The previous prime is 350131005101. The next prime is 350131005139. The reversal of 350131005133 is 331500131053.

It can be written as a sum of positive squares in 4 ways, for example, as 598193764 + 349532811369 = 24458^2 + 591213^2 .

It is not a de Polignac number, because 350131005133 - 2⁵ = 350131005101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350131005098 and 350131005107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350131005139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6677008 + ... + 6729241.

It is an arithmetic number, because the mean of its divisors is an integer number (18721828125).

Almost surely, 2^350131005133 is an apocalyptic number.

It is an amenable number.

350131005133 is a deficient number, since it is larger than the sum of its proper divisors (99192869867).

350131005133 is a wasteful number, since it uses less digits than its factorization.

350131005133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13406317 (or 13406310 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 25.

Adding to 350131005133 its reverse (331500131053), we get a palindrome (681631136186).

The spelling of 350131005133 in words is "three hundred fifty billion, one hundred thirty-one million, five thousand, one hundred thirty-three".