31442200114020 has 192 divisors, whose sum is σ = 95765799951360. Its totient is φ = 7681746240000.

The previous prime is 31442200114007. The next prime is 31442200114021. The reversal of 31442200114020 is 2041100224413.

It is a super-3 number, since 3×31442200114020³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (31442200114021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775695 + ... + 8126345.

It is an arithmetic number, because the mean of its divisors is an integer number (498780208080).

Almost surely, 2^{31442200114020} is an apocalyptic number.

31442200114020 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 31442200114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882899975680).

31442200114020 is an abundant number, since it is smaller than the sum of its proper divisors (64323599837340).

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

31442200114020 is a wasteful number, since it uses less digits than its factorization.

31442200114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350826 (or 6350824 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31442200114020 its reverse (2041100224413), we get a palindrome (33483300338433).

The spelling of 31442200114020 in words is "thirty-one trillion, four hundred forty-two billion, two hundred million, one hundred fourteen thousand, twenty".