1322132011101 has 40 divisors (see below), whose sum is σ = 2157502116000. Its totient is φ = 800207436960.

The previous prime is 1322132011073. The next prime is 1322132011117. The reversal of 1322132011101 is 1011102312231.

1322132011101 is a `hidden beast` number, since 1 + 322 + 1 + 320 + 11 + 10 + 1 = 666.

It is not a de Polignac number, because 1322132011101 - 2⁵ = 1322132011069 is a prime.

It is a super-3 number, since 3×1322132011101³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322132011171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345526 + ... + 1662423.

It is an arithmetic number, because the mean of its divisors is an integer number (53937552900).

Almost surely, 2^{1322132011101} is an apocalyptic number.

1322132011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1322132011101 is a deficient number, since it is larger than the sum of its proper divisors (835370104899).

1322132011101 is a wasteful number, since it uses less digits than its factorization.

1322132011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008711 (or 2008702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1322132011101 its reverse (1011102312231), we get a palindrome (2333234323332).

The spelling of 1322132011101 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, eleven thousand, one hundred one".