311140413000100 has 144 divisors (see below), whose sum is σ = 723540095970048. Its totient is φ = 115718172866560.

The previous prime is 311140413000037. The next prime is 311140413000101. The reversal of 311140413000100 is 1000314041113.

It is not an unprimeable number, because it can be changed into a prime (311140413000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3718930869 + ... + 3719014531.

It is an arithmetic number, because the mean of its divisors is an integer number (5024583999792).

Almost surely, 2^{311140413000100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311140413000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361770047985024).

311140413000100 is an abundant number, since it is smaller than the sum of its proper divisors (412399682969948).

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

311140413000100 is a wasteful number, since it uses less digits than its factorization.

311140413000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110134 (or 110127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 311140413000100 its reverse (1000314041113), we get a palindrome (312140727041213).

The spelling of 311140413000100 in words is "three hundred eleven trillion, one hundred forty billion, four hundred thirteen million, one hundred", and thus it is an aban number.