3001132130400 has 216 divisors, whose sum is σ = 10868763198384. Its totient is φ = 778672051200.

The previous prime is 3001132130393. The next prime is 3001132130401. The reversal of 3001132130400 is 40312311003.

3001132130400 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 132 + 130 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001132130401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5366356 + ... + 5899155.

Almost surely, 2^{3001132130400} is an apocalyptic number.

3001132130400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001132130400 is an abundant number, since it is smaller than the sum of its proper divisors (7867631067984).

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

3001132130400 is a wasteful number, since it uses less digits than its factorization.

3001132130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11265574 (or 11265558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3001132130400 its reverse (40312311003), we get a palindrome (3041444441403).

The spelling of 3001132130400 in words is "three trillion, one billion, one hundred thirty-two million, one hundred thirty thousand, four hundred".