311121312030 has 96 divisors (see below), whose sum is σ = 817305622848. Its totient is φ = 82105920000.

The previous prime is 311121311989. The next prime is 311121312083. The reversal of 311121312030 is 30213121113.

311121312030 is a `hidden beast` number, since 311 + 12 + 1 + 312 + 0 + 30 = 666.

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 = 311121311994 and 311121312012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23181882 + ... + 23195298.

It is an arithmetic number, because the mean of its divisors is an integer number (8513600238).

Almost surely, 2^311121312030 is an apocalyptic number.

311121312030 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 311121312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408652811424).

311121312030 is an abundant number, since it is smaller than the sum of its proper divisors (506184310818).

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

311121312030 is a wasteful number, since it uses less digits than its factorization.

311121312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311121312030 its reverse (30213121113), we get a palindrome (341334433143).

The spelling of 311121312030 in words is "three hundred eleven billion, one hundred twenty-one million, three hundred twelve thousand, thirty".