30013101331120 has 80 divisors (see below), whose sum is σ = 70487868353760. Its totient is φ = 11883591680000.

The previous prime is 30013101331067. The next prime is 30013101331123. The reversal of 30013101331120 is 2113310131003.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30013101331123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34222095 + ... + 35088145.

It is an arithmetic number, because the mean of its divisors is an integer number (881098354422).

Almost surely, 2^{30013101331120} 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 30013101331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35243934176880).

30013101331120 is an abundant number, since it is smaller than the sum of its proper divisors (40474767022640).

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

30013101331120 is a wasteful number, since it uses less digits than its factorization.

30013101331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870454 (or 870448 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 30013101331120 its reverse (2113310131003), we get a palindrome (32126411462123).

The spelling of 30013101331120 in words is "thirty trillion, thirteen billion, one hundred one million, three hundred thirty-one thousand, one hundred twenty".