311321323121032 has 128 divisors (see below), whose sum is σ = 690231115929600. Its totient is φ = 128866081536000.

The previous prime is 311321323121009. The next prime is 311321323121033. The reversal of 311321323121032 is 230121323123113.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (311321323121033) 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, 2232856873 + ... + 2232996295.

It is an arithmetic number, because the mean of its divisors is an integer number (5392430593200).

Almost surely, 2^{311321323121032} 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 311321323121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345115557964800).

311321323121032 is an abundant number, since it is smaller than the sum of its proper divisors (378909792808568).

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

311321323121032 is a wasteful number, since it uses less digits than its factorization.

311321323121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149207 (or 149203 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 311321323121032 its reverse (230121323123113), we get a palindrome (541442646244145).

The spelling of 311321323121032 in words is "three hundred eleven trillion, three hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-one thousand, thirty-two".