13031411100 has 144 divisors (see below), whose sum is σ = 39973441536. Its totient is φ = 3271968000.

The previous prime is 13031411089. The next prime is 13031411111. The reversal of 13031411100 is 111413031.

13031411100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13031411089) and next prime (13031411111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13031411100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325165 + ... + 363035.

It is an arithmetic number, because the mean of its divisors is an integer number (277593344).

Almost surely, 2^13031411100 is an apocalyptic number.

13031411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19986720768).

13031411100 is an abundant number, since it is smaller than the sum of its proper divisors (26942030436).

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

13031411100 is a wasteful number, since it uses less digits than its factorization.

13031411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37956 (or 37949 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13031411100 its reverse (111413031), we get a palindrome (13142824131).

The spelling of 13031411100 in words is "thirteen billion, thirty-one million, four hundred eleven thousand, one hundred".