30331132920 has 288 divisors, whose sum is σ = 108979284960. Its totient is φ = 7310476800.

The previous prime is 30331132919. The next prime is 30331132921. The reversal of 30331132920 is 2923113303.

30331132920 is a `hidden beast` number, since 3 + 0 + 3 + 311 + 329 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (30331132919) and next prime (30331132921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30331132921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7882437 + ... + 7886283.

It is an arithmetic number, because the mean of its divisors is an integer number (378400295).

Almost surely, 2^30331132920 is an apocalyptic number.

30331132920 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 30331132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54489642480).

30331132920 is an abundant number, since it is smaller than the sum of its proper divisors (78648152040).

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

30331132920 is a wasteful number, since it uses less digits than its factorization.

30331132920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 30331132920 in words is "thirty billion, three hundred thirty-one million, one hundred thirty-two thousand, nine hundred twenty".