10133132130 has 128 divisors (see below), whose sum is σ = 30429388800. Its totient is φ = 2377252800.

The previous prime is 10133132129. The next prime is 10133132159. The reversal of 10133132130 is 3123133101.

It is a happy number.

10133132130 is a `hidden beast` number, since 10 + 1 + 331 + 321 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37041 + ... + 147099.

It is an arithmetic number, because the mean of its divisors is an integer number (237729600).

Almost surely, 2^10133132130 is an apocalyptic number.

10133132130 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 10133132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214694400).

10133132130 is an abundant number, since it is smaller than the sum of its proper divisors (20296256670).

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

10133132130 is a wasteful number, since it uses less digits than its factorization.

10133132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110117 (or 110111 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133132130 its reverse (3123133101), we get a palindrome (13256265231).

The spelling of 10133132130 in words is "ten billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty".