13112001101100 has 72 divisors (see below), whose sum is σ = 41386243485888. Its totient is φ = 3178666932800.

The previous prime is 13112001101081. The next prime is 13112001101119. The reversal of 13112001101100 is 110110021131.

It is an interprime number because it is at equal distance from previous prime (13112001101081) and next prime (13112001101119).

It is a super-2 number, since 2×13112001101100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1986663534 + ... + 1986670133.

It is an arithmetic number, because the mean of its divisors is an integer number (574808937304).

Almost surely, 2^{13112001101100} is an apocalyptic number.

13112001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112001101100 is an abundant number, since it is smaller than the sum of its proper divisors (28274242384788).

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

13112001101100 is a wasteful number, since it uses less digits than its factorization.

13112001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973333695 (or 3973333688 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 13112001101100 its reverse (110110021131), we get a palindrome (13222111122231).

The spelling of 13112001101100 in words is "thirteen trillion, one hundred twelve billion, one million, one hundred one thousand, one hundred".