311133113130 has 96 divisors (see below), whose sum is σ = 869410960704. Its totient is φ = 71052436224.

The previous prime is 311133113041. The next prime is 311133113149. The reversal of 311133113130 is 31311331113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311133113097 and 311133113106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556574 + ... + 1745046.

It is an arithmetic number, because the mean of its divisors is an integer number (9056364174).

Almost surely, 2^311133113130 is an apocalyptic number.

311133113130 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 311133113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434705480352).

311133113130 is an abundant number, since it is smaller than the sum of its proper divisors (558277847574).

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

311133113130 is a wasteful number, since it uses less digits than its factorization.

311133113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189620 (or 189613 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 311133113130 its reverse (31311331113), we get a palindrome (342444444243).

The spelling of 311133113130 in words is "three hundred eleven billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred thirty".