31344110000 has 200 divisors, whose sum is σ = 91296775680. Its totient is φ = 10180512000.

The previous prime is 31344109969. The next prime is 31344110003. The reversal of 31344110000 is 1144313.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (31344110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1318217 + ... + 1341783.

Almost surely, 2^31344110000 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 31344110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45648387840).

31344110000 is an abundant number, since it is smaller than the sum of its proper divisors (59952665680).

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

31344110000 is a wasteful number, since it uses less digits than its factorization.

31344110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23621 (or 23600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31344110000 its reverse (1144313), we get a palindrome (31345254313).

The spelling of 31344110000 in words is "thirty-one billion, three hundred forty-four million, one hundred ten thousand".