30131132002200 has 288 divisors, whose sum is σ = 104693803297200. Its totient is φ = 7756856110080.

The previous prime is 30131132002183. The next prime is 30131132002217. The reversal of 30131132002200 is 220023113103.

30131132002200 is a `hidden beast` number, since 30 + 1 + 311 + 320 + 0 + 2 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30131132002183) and next prime (30131132002217).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 434112699 + ... + 434182101.

Almost surely, 2^{30131132002200} is an apocalyptic number.

30131132002200 is a gapful number since it is divisible by the number (30) 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 30131132002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52346901648600).

30131132002200 is an abundant number, since it is smaller than the sum of its proper divisors (74562671295000).

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

30131132002200 is a wasteful number, since it uses less digits than its factorization.

30131132002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77771 (or 77759 counting only the distinct ones).

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

Adding to 30131132002200 its reverse (220023113103), we get a palindrome (30351155115303).

The spelling of 30131132002200 in words is "thirty trillion, one hundred thirty-one billion, one hundred thirty-two million, two thousand, two hundred".