133213310133101 has 24 divisors (see below), whose sum is σ = 157161561234552. Its totient is φ = 112417942348800.

The previous prime is 133213310133097. The next prime is 133213310133179. The reversal of 133213310133101 is 101331013312331.

It can be written as a sum of positive squares in 4 ways, for example, as 84519081617476 + 48694228515625 = 9193426^2 + 6978125^2 .

It is not a de Polignac number, because 133213310133101 - 2² = 133213310133097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213310133301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443418110 + ... + 443718431.

It is an arithmetic number, because the mean of its divisors is an integer number (6548398384773).

Almost surely, 2^{133213310133101} is an apocalyptic number.

133213310133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133213310133101 is a deficient number, since it is larger than the sum of its proper divisors (23948251101451).

133213310133101 is a wasteful number, since it uses less digits than its factorization.

133213310133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887136653 (or 887136642 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 133213310133101 its reverse (101331013312331), we get a palindrome (234544323445432).

The spelling of 133213310133101 in words is "one hundred thirty-three trillion, two hundred thirteen billion, three hundred ten million, one hundred thirty-three thousand, one hundred one".