133434434331 has 48 divisors (see below), whose sum is σ = 216020683008. Its totient is φ = 78655406400.

The previous prime is 133434434311. The next prime is 133434434347.

133434434331 is a `hidden beast` number, since 133 + 43 + 443 + 43 + 3 + 1 = 666.

133434434331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133434434331 - 2⁶ = 133434434267 is a prime.

It is a super-2 number, since 2×133434434331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133434434311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14673096 + ... + 14682186.

It is an arithmetic number, because the mean of its divisors is an integer number (4500430896).

Almost surely, 2^133434434331 is an apocalyptic number.

133434434331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133434434331 is a deficient number, since it is larger than the sum of its proper divisors (82586248677).

133434434331 is a wasteful number, since it uses less digits than its factorization.

133434434331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13149 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 133434 and 434331, that added together give a palindrome (567765).

The spelling of 133434434331 in words is "one hundred thirty-three billion, four hundred thirty-four million, four hundred thirty-four thousand, three hundred thirty-one".