1000131102320 has 160 divisors (see below), whose sum is σ = 2723610427776. Its totient is φ = 334378598400.

The previous prime is 1000131102259. The next prime is 1000131102323. The reversal of 1000131102320 is 232011310001.

1000131102320 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 1000131102295 and 1000131102304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000131102323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54107480 + ... + 54125960.

Almost surely, 2^{1000131102320} is an apocalyptic number.

1000131102320 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 1000131102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361805213888).

1000131102320 is an abundant number, since it is smaller than the sum of its proper divisors (1723479325456).

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

1000131102320 is a wasteful number, since it uses less digits than its factorization.

1000131102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20899 (or 20893 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000131102320 its reverse (232011310001), we get a palindrome (1232142412321).

The spelling of 1000131102320 in words is "one trillion, one hundred thirty-one million, one hundred two thousand, three hundred twenty".