30013011000 has 640 divisors, whose sum is σ = 122787624960. Its totient is φ = 6695136000.

The previous prime is 30013010981. The next prime is 30013011011. The reversal of 30013011000 is 11031003.

It is a super-2 number, since 2×30013011000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24380385 + ... + 24381615.

It is an arithmetic number, because the mean of its divisors is an integer number (191855664).

Almost surely, 2^30013011000 is an apocalyptic number.

30013011000 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 30013011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61393812480).

30013011000 is an abundant number, since it is smaller than the sum of its proper divisors (92774613960).

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

30013011000 is a wasteful number, since it uses less digits than its factorization.

30013011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 30013011000 its reverse (11031003), we get a palindrome (30024042003).

The spelling of 30013011000 in words is "thirty billion, thirteen million, eleven thousand".