13521300030 has 768 divisors, whose sum is σ = 48910417920. Its totient is φ = 2611243008.

The previous prime is 13521299993. The next prime is 13521300071. The reversal of 13521300030 is 3000312531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13521299976 and 13521300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 126367237 + ... + 126367343.

It is an arithmetic number, because the mean of its divisors is an integer number (63685440).

Almost surely, 2^13521300030 is an apocalyptic number.

13521300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13521300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455208960).

13521300030 is an abundant number, since it is smaller than the sum of its proper divisors (35389117890).

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

13521300030 is a wasteful number, since it uses less digits than its factorization.

13521300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13521300030 its reverse (3000312531), we get a palindrome (16521612561).

The spelling of 13521300030 in words is "thirteen billion, five hundred twenty-one million, three hundred thousand, thirty".