30135235130000 has 1800 divisors, whose sum is σ = 104961276590016. Its totient is φ = 8151644160000.

The previous prime is 30135235129973. The next prime is 30135235130009. The reversal of 30135235130000 is 3153253103.

It is a super-2 number, since 2×30135235130000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (30135235130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 31821789527 + ... + 31821790473.

Almost surely, 2^{30135235130000} 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 30135235130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52480638295008).

30135235130000 is an abundant number, since it is smaller than the sum of its proper divisors (74826041460016).

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

30135235130000 is a wasteful number, since it uses less digits than its factorization.

30135235130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

Adding to 30135235130000 its reverse (3153253103), we get a palindrome (30138388383103).

The spelling of 30135235130000 in words is "thirty trillion, one hundred thirty-five billion, two hundred thirty-five million, one hundred thirty thousand".