100132310130000 has 400 divisors, whose sum is σ = 342592243139520. Its totient is φ = 25106453504000.

The previous prime is 100132310129989. The next prime is 100132310130001. The reversal of 100132310130000 is 31013231001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132310130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 519593662 + ... + 519786338.

Almost surely, 2^{100132310130000} is an apocalyptic number.

100132310130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132310130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171296121569760).

100132310130000 is an abundant number, since it is smaller than the sum of its proper divisors (242459933009520).

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

100132310130000 is a wasteful number, since it uses less digits than its factorization.

100132310130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193744 (or 193723 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100132310130000 its reverse (31013231001), we get a palindrome (100163323361001).

The spelling of 100132310130000 in words is "one hundred trillion, one hundred thirty-two billion, three hundred ten million, one hundred thirty thousand".