133341020143331 has 320 divisors, whose sum is σ = 192873603686400. Its totient is φ = 89611353216000.

The previous prime is 133341020143301. The next prime is 133341020143339.

It is a happy number.

133341020143331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133341020143331 - 2³⁴ = 133323840274147 is a prime.

It is a super-2 number, since 2×133341020143331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133341020143339) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 183412682090 + ... + 183412682816.

It is an arithmetic number, because the mean of its divisors is an integer number (602730011520).

Almost surely, 2^{133341020143331} is an apocalyptic number.

133341020143331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133341020143331 is a deficient number, since it is larger than the sum of its proper divisors (59532583543069).

133341020143331 is a wasteful number, since it uses less digits than its factorization.

133341020143331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 133341020143331 in words is "one hundred thirty-three trillion, three hundred forty-one billion, twenty million, one hundred forty-three thousand, three hundred thirty-one".