13100111210032 has 240 divisors, whose sum is σ = 32806143486720. Its totient is φ = 5010025305600.

The previous prime is 13100111209963. The next prime is 13100111210041. The reversal of 13100111210032 is 23001211100131.

It is a happy number.

It is a super-2 number, since 2×13100111210032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13100111209988 and 13100111210015.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140170903 + ... + 140264329.

It is an arithmetic number, because the mean of its divisors is an integer number (136692264528).

Almost surely, 2^{13100111210032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100111210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403071743360).

13100111210032 is an abundant number, since it is smaller than the sum of its proper divisors (19706032276688).

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

13100111210032 is a wasteful number, since it uses less digits than its factorization.

13100111210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93760 (or 93747 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13100111210032 its reverse (23001211100131), we get a palindrome (36101322310163).

The spelling of 13100111210032 in words is "thirteen trillion, one hundred billion, one hundred eleven million, two hundred ten thousand, thirty-two".