133410014331 has 48 divisors (see below), whose sum is σ = 201307102464. Its totient is φ = 77883120000.

The previous prime is 133410014323. The next prime is 133410014347.

133410014331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133410014331 - 2³ = 133410014323 is a prime.

It is a super-2 number, since 2×133410014331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133410014371) 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, 12450066 + ... + 12460776.

It is an arithmetic number, because the mean of its divisors is an integer number (4193897968).

Almost surely, 2^133410014331 is an apocalyptic number.

133410014331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133410014331 is a deficient number, since it is larger than the sum of its proper divisors (67897088133).

133410014331 is a wasteful number, since it uses less digits than its factorization.

133410014331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1334100 and 14331, that added together give a palindrome (1348431).

The spelling of 133410014331 in words is "one hundred thirty-three billion, four hundred ten million, fourteen thousand, three hundred thirty-one".