311013033013120 has 256 divisors, whose sum is σ = 784557316800000. Its totient is φ = 117727931768832.

The previous prime is 311013033013099. The next prime is 311013033013121. The reversal of 311013033013120 is 21310330310113.

It is a junction number, because it is equal to n+sod(n) for n = 311013033013091 and 311013033013100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311013033013121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246832071 + ... + 248088889.

It is an arithmetic number, because the mean of its divisors is an integer number (3064677018750).

Almost surely, 2^{311013033013120} 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 311013033013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392278658400000).

311013033013120 is an abundant number, since it is smaller than the sum of its proper divisors (473544283786880).

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

311013033013120 is a wasteful number, since it uses less digits than its factorization.

311013033013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257133 (or 1257121 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 311013033013120 its reverse (21310330310113), we get a palindrome (332323363323233).

The spelling of 311013033013120 in words is "three hundred eleven trillion, thirteen billion, thirty-three million, thirteen thousand, one hundred twenty".