31242334143020 has 864 divisors, whose sum is σ = 94194743505408. Its totient is φ = 8611384320000.

The previous prime is 31242334143017. The next prime is 31242334143143. The reversal of 31242334143020 is 2034143324213.

It is a super-2 number, since 2×31242334143020² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4826558504 + ... + 4826564976.

It is an arithmetic number, because the mean of its divisors is an integer number (109021693872).

Almost surely, 2^{31242334143020} 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 31242334143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47097371752704).

31242334143020 is an abundant number, since it is smaller than the sum of its proper divisors (62952409362388).

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

31242334143020 is a wasteful number, since it uses less digits than its factorization.

31242334143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 31242334143020 its reverse (2034143324213), we get a palindrome (33276477467233).

It can be divided in two parts, 312423 and 34143020, that added together give a palindrome (34455443).

The spelling of 31242334143020 in words is "thirty-one trillion, two hundred forty-two billion, three hundred thirty-four million, one hundred forty-three thousand, twenty".