13111100101332 has 72 divisors (see below), whose sum is σ = 33249688407936. Its totient is φ = 4356171609984.

The previous prime is 13111100101291. The next prime is 13111100101373. The reversal of 13111100101332 is 23310100111131.

13111100101332 is a `hidden beast` number, since 1 + 311 + 1 + 10 + 0 + 10 + 1 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (13111100101291) and next prime (13111100101373).

It is a super-3 number, since 3×13111100101332³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25015183 + ... + 25533929.

It is an arithmetic number, because the mean of its divisors is an integer number (461801227888).

Almost surely, 2^{13111100101332} is an apocalyptic number.

13111100101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13111100101332 is an abundant number, since it is smaller than the sum of its proper divisors (20138588306604).

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

13111100101332 is a wasteful number, since it uses less digits than its factorization.

13111100101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521037 (or 521032 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13111100101332 its reverse (23310100111131), we get a palindrome (36421200212463).

The spelling of 13111100101332 in words is "thirteen trillion, one hundred eleven billion, one hundred million, one hundred one thousand, three hundred thirty-two".