133142313114213 has 96 divisors (see below), whose sum is σ = 194019644117376. Its totient is φ = 80732009280000.

The previous prime is 133142313114163. The next prime is 133142313114241. The reversal of 133142313114213 is 312411313241331.

It is a happy number.

It is not a de Polignac number, because 133142313114213 - 2¹⁰ = 133142313113189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133142313114253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70038038563 + ... + 70038040463.

It is an arithmetic number, because the mean of its divisors is an integer number (2021037959556).

Almost surely, 2^{133142313114213} is an apocalyptic number.

133142313114213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133142313114213 is a deficient number, since it is larger than the sum of its proper divisors (60877331003163).

133142313114213 is a wasteful number, since it uses less digits than its factorization.

133142313114213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2736 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

Adding to 133142313114213 its reverse (312411313241331), we get a palindrome (445553626355544).

The spelling of 133142313114213 in words is "one hundred thirty-three trillion, one hundred forty-two billion, three hundred thirteen million, one hundred fourteen thousand, two hundred thirteen".