31344201243210 has 256 divisors, whose sum is σ = 80166537216000. Its totient is φ = 7831447234560.

The previous prime is 31344201243193. The next prime is 31344201243247. The reversal of 31344201243210 is 1234210244313.

It is a super-2 number, since 2×31344201243210² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2960066596 + ... + 2960077184.

It is an arithmetic number, because the mean of its divisors is an integer number (313150536000).

Almost surely, 2^{31344201243210} is an apocalyptic number.

31344201243210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344201243210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40083268608000).

31344201243210 is an abundant number, since it is smaller than the sum of its proper divisors (48822335972790).

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

31344201243210 is a wasteful number, since it uses less digits than its factorization.

31344201243210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11501.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31344201243210 its reverse (1234210244313), we get a palindrome (32578411487523).

The spelling of 31344201243210 in words is "thirty-one trillion, three hundred forty-four billion, two hundred one million, two hundred forty-three thousand, two hundred ten".