10111132131102 has 80 divisors (see below), whose sum is σ = 22687179950160. Its totient is φ = 3365804610432.

The previous prime is 10111132131077. The next prime is 10111132131103. The reversal of 10111132131102 is 20113123111101.

10111132131102 is a `hidden beast` number, since 10 + 11 + 11 + 321 + 311 + 0 + 2 = 666.

10111132131102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111132131103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 646939024 + ... + 646954652.

It is an arithmetic number, because the mean of its divisors is an integer number (283589749377).

Almost surely, 2^{10111132131102} is an apocalyptic number.

10111132131102 is an abundant number, since it is smaller than the sum of its proper divisors (12576047819058).

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

10111132131102 is a wasteful number, since it uses less digits than its factorization.

10111132131102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20807 (or 20798 counting only the distinct ones).

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

Adding to 10111132131102 its reverse (20113123111101), we get a palindrome (30224255242203).

The spelling of 10111132131102 in words is "ten trillion, one hundred eleven billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred two".