101300132131170 has 128 divisors (see below), whose sum is σ = 283540319078400. Its totient is φ = 23152839111360.

The previous prime is 101300132131169. The next prime is 101300132131301. The reversal of 101300132131170 is 71131231003101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101300132131170.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165270489 + ... + 165882291.

It is an arithmetic number, because the mean of its divisors is an integer number (2215158742800).

Almost surely, 2^{101300132131170} is an apocalyptic number.

101300132131170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101300132131170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141770159539200).

101300132131170 is an abundant number, since it is smaller than the sum of its proper divisors (182240186947230).

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

101300132131170 is a wasteful number, since it uses less digits than its factorization.

101300132131170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627925 (or 627911 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

Adding to 101300132131170 its reverse (71131231003101), we get a palindrome (172431363134271).

The spelling of 101300132131170 in words is "one hundred one trillion, three hundred billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred seventy".