100131036742000 has 80 divisors (see below), whose sum is σ = 264127469340384. Its totient is φ = 36411286080000.

The previous prime is 100131036741887. The next prime is 100131036742001. The reversal of 100131036742000 is 247630131001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 100131036742000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131036742001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275683381 + ... + 2275727380.

Almost surely, 2^{100131036742000} is an apocalyptic number.

100131036742000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131036742000 is an abundant number, since it is smaller than the sum of its proper divisors (163996432598384).

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

100131036742000 is a wasteful number, since it uses less digits than its factorization.

100131036742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551410795 (or 4551410779 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 100131036742000 its reverse (247630131001), we get a palindrome (100378666873001).

The spelling of 100131036742000 in words is "one hundred trillion, one hundred thirty-one billion, thirty-six million, seven hundred forty-two thousand".