311130131130 has 384 divisors, whose sum is σ = 1044158169600. Its totient is φ = 64903348224.

The previous prime is 311130131107. The next prime is 311130131153. The reversal of 311130131130 is 31131031113.

311130131130 is a `hidden beast` number, since 311 + 13 + 0 + 1 + 311 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (311130131107) and next prime (311130131153).

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

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 191 ways as a sum of consecutive naturals, for example, 19672666 + ... + 19688474.

It is an arithmetic number, because the mean of its divisors is an integer number (2719161900).

Almost surely, 2^311130131130 is an apocalyptic number.

311130131130 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 311130131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522079084800).

311130131130 is an abundant number, since it is smaller than the sum of its proper divisors (733028038470).

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

311130131130 is a wasteful number, since it uses less digits than its factorization.

311130131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15940 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 311130131130 its reverse (31131031113), we get a palindrome (342261162243).

The spelling of 311130131130 in words is "three hundred eleven billion, one hundred thirty million, one hundred thirty-one thousand, one hundred thirty".