133046640331 has 24 divisors (see below), whose sum is σ = 146789278272. Its totient is φ = 120499209600.

The previous prime is 133046640329. The next prime is 133046640367.

133046640331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133046640331 - 2¹ = 133046640329 is a prime.

It is a super-2 number, since 2×133046640331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133046640301) 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 23 ways as a sum of consecutive naturals, for example, 49698565 + ... + 49701241.

It is an arithmetic number, because the mean of its divisors is an integer number (6116219928).

Almost surely, 2^133046640331 is an apocalyptic number.

133046640331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133046640331 is a deficient number, since it is larger than the sum of its proper divisors (13742637941).

133046640331 is a wasteful number, since it uses less digits than its factorization.

133046640331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 133046 and 640331, that added together give a palindrome (773377).

The spelling of 133046640331 in words is "one hundred thirty-three billion, forty-six million, six hundred forty thousand, three hundred thirty-one".