13111041012100 has 36 divisors (see below), whose sum is σ = 29144884834548. Its totient is φ = 5116503808000.

The previous prime is 13111041012079. The next prime is 13111041012101. The reversal of 13111041012100 is 121014011131.

13111041012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 69683328576 + 13041357683524 = 263976^2 + 3611282^2 .

It is not an unprimeable number, because it can be changed into a prime (13111041012101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1598903341 + ... + 1598911540.

It is an arithmetic number, because the mean of its divisors is an integer number (809580134293).

Almost surely, 2^{13111041012100} is an apocalyptic number.

13111041012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111041012100 is an abundant number, since it is smaller than the sum of its proper divisors (16033843822448).

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

13111041012100 is a wasteful number, since it uses less digits than its factorization.

13111041012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197814936 (or 3197814929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13111041012100 its reverse (121014011131), we get a palindrome (13232055023231).

The spelling of 13111041012100 in words is "thirteen trillion, one hundred eleven billion, forty-one million, twelve thousand, one hundred".