11333120322132 has 192 divisors, whose sum is σ = 36381746903040. Its totient is φ = 2976688092672.

The previous prime is 11333120322109. The next prime is 11333120322191. The reversal of 11333120322132 is 23122302133311.

11333120322132 is a `hidden beast` number, since 1 + 1 + 3 + 331 + 2 + 0 + 322 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11333120322096 and 11333120322105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9701058 + ... + 10806329.

It is an arithmetic number, because the mean of its divisors is an integer number (189488265120).

Almost surely, 2^{11333120322132} is an apocalyptic number.

11333120322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11333120322132 is an abundant number, since it is smaller than the sum of its proper divisors (25048626580908).

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

11333120322132 is a wasteful number, since it uses less digits than its factorization.

11333120322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20507467 (or 20507459 counting only the distinct ones).

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

Adding to 11333120322132 its reverse (23122302133311), we get a palindrome (34455422455443).

The spelling of 11333120322132 in words is "eleven trillion, three hundred thirty-three billion, one hundred twenty million, three hundred twenty-two thousand, one hundred thirty-two".