311013110130000 has 200 divisors, whose sum is σ = 1004489748237888. Its totient is φ = 82895694336000.

The previous prime is 311013110129963. The next prime is 311013110130059. The reversal of 311013110130000 is 31011310113.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57940069 + ... + 63079931.

Almost surely, 2^{311013110130000} is an apocalyptic number.

311013110130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311013110130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502244874118944).

311013110130000 is an abundant number, since it is smaller than the sum of its proper divisors (693476638107888).

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

311013110130000 is a wasteful number, since it uses less digits than its factorization.

311013110130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141911 (or 5141890 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 311013110130000 its reverse (31011310113), we get a palindrome (311044121440113).

The spelling of 311013110130000 in words is "three hundred eleven trillion, thirteen billion, one hundred ten million, one hundred thirty thousand".