133213132101132 has 36 divisors (see below), whose sum is σ = 336790590010056. Its totient is φ = 44396808798720.

The previous prime is 133213132101131. The next prime is 133213132101167. The reversal of 133213132101132 is 231101231312331.

133213132101132 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 313 + 210 + 1 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 133213132101096 and 133213132101105.

It is not an unprimeable number, because it can be changed into a prime (133213132101131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315142869 + ... + 315565292.

It is an arithmetic number, because the mean of its divisors is an integer number (9355294166946).

Almost surely, 2^{133213132101132} is an apocalyptic number.

133213132101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133213132101132 is an abundant number, since it is smaller than the sum of its proper divisors (203577457908924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133213132101132 is a wasteful number, since it uses less digits than its factorization.

133213132101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630714038 (or 630714033 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133213132101132 its reverse (231101231312331), we get a palindrome (364314363413463).

The spelling of 133213132101132 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred one thousand, one hundred thirty-two".