102000131112133 has 8 divisors (see below), whose sum is σ = 104438649642048. Its totient is φ = 99588557538624.

The previous prime is 102000131112097. The next prime is 102000131112157. The reversal of 102000131112133 is 331211131000201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102000131112133 - 2²¹ = 102000129014981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102000131112133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000131112533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6736231441 + ... + 6736246582.

It is an arithmetic number, because the mean of its divisors is an integer number (13054831205256).

Almost surely, 2^{102000131112133} is an apocalyptic number.

It is an amenable number.

102000131112133 is a deficient number, since it is larger than the sum of its proper divisors (2438518529915).

102000131112133 is a wasteful number, since it uses less digits than its factorization.

102000131112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472478203.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102000131112133 its reverse (331211131000201), we get a palindrome (433211262112334).

It can be divided in two parts, 10200013 and 1112133, that added together give a triangular number (11312146 = T₄₇₅₆).

The spelling of 102000131112133 in words is "one hundred two trillion, one hundred thirty-one million, one hundred twelve thousand, one hundred thirty-three".