101333122032132 has 72 divisors (see below), whose sum is σ = 262650823789536. Its totient is φ = 32930535965184.

The previous prime is 101333122032089. The next prime is 101333122032133. The reversal of 101333122032132 is 231230221333101.

101333122032132 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 312 + 20 + 321 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101333122032096 and 101333122032105.

It is not an unprimeable number, because it can be changed into a prime (101333122032133) 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, 216323118 + ... + 216791045.

It is an arithmetic number, because the mean of its divisors is an integer number (3647928108188).

Almost surely, 2^{101333122032132} is an apocalyptic number.

101333122032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101333122032132 is an abundant number, since it is smaller than the sum of its proper divisors (161317701757404).

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

101333122032132 is a wasteful number, since it uses less digits than its factorization.

101333122032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433114337 (or 433114332 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101333122032132 its reverse (231230221333101), we get a palindrome (332563343365233).

The spelling of 101333122032132 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred twenty-two million, thirty-two thousand, one hundred thirty-two".