13111211312100 has 216 divisors, whose sum is σ = 46378342221120. Its totient is φ = 3068872800000.

The previous prime is 13111211312099. The next prime is 13111211312137. The reversal of 13111211312100 is 121311211131.

13111211312100 is a `hidden beast` number, since 1 + 31 + 11 + 211 + 312 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22546776 + ... + 23120975.

It is an arithmetic number, because the mean of its divisors is an integer number (214714547320).

Almost surely, 2^{13111211312100} is an apocalyptic number.

13111211312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111211312100 is an abundant number, since it is smaller than the sum of its proper divisors (33267130909020).

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

13111211312100 is a wasteful number, since it uses less digits than its factorization.

13111211312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45667811 (or 45667801 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13111211312100 its reverse (121311211131), we get a palindrome (13232522523231).

The spelling of 13111211312100 in words is "thirteen trillion, one hundred eleven billion, two hundred eleven million, three hundred twelve thousand, one hundred".