30131020221000 has 256 divisors, whose sum is σ = 95280029395200. Its totient is φ = 7926693632000.

The previous prime is 30131020220927. The next prime is 30131020221019. The reversal of 30131020221000 is 12202013103.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 118153630 + ... + 118408370.

It is an arithmetic number, because the mean of its divisors is an integer number (372187614825).

Almost surely, 2^{30131020221000} is an apocalyptic number.

30131020221000 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 30131020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47640014697600).

30131020221000 is an abundant number, since it is smaller than the sum of its proper divisors (65149009174200).

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

30131020221000 is a wasteful number, since it uses less digits than its factorization.

30131020221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255297 (or 255283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30131020221000 its reverse (12202013103), we get a palindrome (30143222234103).

The spelling of 30131020221000 in words is "thirty trillion, one hundred thirty-one billion, twenty million, two hundred twenty-one thousand".