311133241142032 has 160 divisors (see below), whose sum is σ = 663408229155840. Its totient is φ = 141208641239040.

The previous prime is 311133241142029. The next prime is 311133241142033. The reversal of 311133241142032 is 230241142331113.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 311133241141985 and 311133241142003.

It is not an unprimeable number, because it can be changed into a prime (311133241142033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713778583 + ... + 714214345.

It is an arithmetic number, because the mean of its divisors is an integer number (4146301432224).

Almost surely, 2^{311133241142032} 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 311133241142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331704114577920).

311133241142032 is an abundant number, since it is smaller than the sum of its proper divisors (352274988013808).

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

311133241142032 is a wasteful number, since it uses less digits than its factorization.

311133241142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436146 (or 436106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 311133241142032 its reverse (230241142331113), we get a palindrome (541374383473145).

The spelling of 311133241142032 in words is "three hundred eleven trillion, one hundred thirty-three billion, two hundred forty-one million, one hundred forty-two thousand, thirty-two".