311000102213130 has 160 divisors (see below), whose sum is σ = 960281017882560. Its totient is φ = 71425860756480.

The previous prime is 311000102213123. The next prime is 311000102213161. The reversal of 311000102213130 is 31312201000113.

311000102213130 is a `hidden beast` number, since 31 + 100 + 0 + 1 + 0 + 221 + 313 + 0 = 666.

It is a super-3 number, since 3×311000102213130³ (a number of 44 digits) contains 333 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 an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 918373159 + ... + 918711738.

It is an arithmetic number, because the mean of its divisors is an integer number (6001756361766).

Almost surely, 2^{311000102213130} is an apocalyptic number.

311000102213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311000102213130 is an abundant number, since it is smaller than the sum of its proper divisors (649280915669430).

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

311000102213130 is a wasteful number, since it uses less digits than its factorization.

311000102213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837084946 (or 1837084937 counting only the distinct ones).

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

Adding to 311000102213130 its reverse (31312201000113), we get a palindrome (342312303213243).

The spelling of 311000102213130 in words is "three hundred eleven trillion, one hundred two million, two hundred thirteen thousand, one hundred thirty".