311201311032 has 96 divisors (see below), whose sum is σ = 879895785600. Its totient is φ = 99176920128.

The previous prime is 311201310989. The next prime is 311201311033. The reversal of 311201311032 is 230113102113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311201310996 and 311201311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311201311033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3565303 + ... + 3651545.

It is an arithmetic number, because the mean of its divisors is an integer number (9165581100).

Almost surely, 2^311201311032 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 311201311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439947892800).

311201311032 is an abundant number, since it is smaller than the sum of its proper divisors (568694474568).

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

311201311032 is a wasteful number, since it uses less digits than its factorization.

311201311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88457 (or 88450 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311201311032 its reverse (230113102113), we get a palindrome (541314413145).

The spelling of 311201311032 in words is "three hundred eleven billion, two hundred one million, three hundred eleven thousand, thirty-two".