30132113310 has 288 divisors, whose sum is σ = 88478103168. Its totient is φ = 7071805440.

The previous prime is 30132113293. The next prime is 30132113311. The reversal of 30132113310 is 1331123103.

It is a happy number.

30132113310 is a `hidden beast` number, since 30 + 1 + 321 + 1 + 3 + 310 = 666.

It is a super-2 number, since 2×30132113310² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132113311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111188475 + ... + 111188745.

It is an arithmetic number, because the mean of its divisors is an integer number (307215636).

Almost surely, 2^30132113310 is an apocalyptic number.

30132113310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239051584).

30132113310 is an abundant number, since it is smaller than the sum of its proper divisors (58345989858).

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

30132113310 is a wasteful number, since it uses less digits than its factorization.

30132113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30132113310 its reverse (1331123103), we get a palindrome (31463236413).

The spelling of 30132113310 in words is "thirty billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred ten".