311201131023420 has 192 divisors, whose sum is σ = 991998535965696. Its totient is φ = 72155956561920.

The previous prime is 311201131023403. The next prime is 311201131023473. The reversal of 311201131023420 is 24320131102113.

It is a super-2 number, since 2×311201131023420² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165391752 + ... + 167262768.

It is an arithmetic number, because the mean of its divisors is an integer number (5166659041488).

Almost surely, 2^{311201131023420} is an apocalyptic number.

311201131023420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311201131023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495999267982848).

311201131023420 is an abundant number, since it is smaller than the sum of its proper divisors (680797404942276).

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

311201131023420 is a wasteful number, since it uses less digits than its factorization.

311201131023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882020 (or 1882018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 311201131023420 its reverse (24320131102113), we get a palindrome (335521262125533).

The spelling of 311201131023420 in words is "three hundred eleven trillion, two hundred one billion, one hundred thirty-one million, twenty-three thousand, four hundred twenty".