30131440432100 has 288 divisors, whose sum is σ = 78891950592000. Its totient is φ = 9758106132480.

The previous prime is 30131440432073. The next prime is 30131440432127. The reversal of 30131440432100 is 123404413103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30131440432073) and next prime (30131440432127).

It is a self number, because there is not a number n which added to its sum of digits gives 30131440432100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7973388011 + ... + 7973391789.

It is an arithmetic number, because the mean of its divisors is an integer number (273930384000).

Almost surely, 2^{30131440432100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131440432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39445975296000).

30131440432100 is an abundant number, since it is smaller than the sum of its proper divisors (48760510159900).

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

30131440432100 is a wasteful number, since it uses less digits than its factorization.

30131440432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 30131440432100 its reverse (123404413103), we get a palindrome (30254844845203).

The spelling of 30131440432100 in words is "thirty trillion, one hundred thirty-one billion, four hundred forty million, four hundred thirty-two thousand, one hundred".