30311130400 has 144 divisors (see below), whose sum is σ = 76592597760. Its totient is φ = 11701324800.

The previous prime is 30311130379. The next prime is 30311130419. The reversal of 30311130400 is 403111303.

It is a super-2 number, since 2×30311130400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10389742 + ... + 10392658.

It is an arithmetic number, because the mean of its divisors is an integer number (531893040).

Almost surely, 2^30311130400 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 30311130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38296298880).

30311130400 is an abundant number, since it is smaller than the sum of its proper divisors (46281467360).

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

30311130400 is a wasteful number, since it uses less digits than its factorization.

30311130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30311130400 its reverse (403111303), we get a palindrome (30714241703).

The spelling of 30311130400 in words is "thirty billion, three hundred eleven million, one hundred thirty thousand, four hundred".