31011442431200 has 144 divisors (see below), whose sum is σ = 94387554059904. Its totient is φ = 9665904115200.

The previous prime is 31011442431199. The next prime is 31011442431251. The reversal of 31011442431200 is 213424411013.

It is a self number, because there is not a number n which added to its sum of digits gives 31011442431200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251654654 + ... + 251777853.

It is an arithmetic number, because the mean of its divisors is an integer number (655469125416).

Almost surely, 2^{31011442431200} is an apocalyptic number.

It is an amenable number.

31011442431200 is an abundant number, since it is smaller than the sum of its proper divisors (63376111628704).

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

31011442431200 is a wasteful number, since it uses less digits than its factorization.

31011442431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503432545 (or 503432532 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 31011442431200 its reverse (213424411013), we get a palindrome (31224866842213).

The spelling of 31011442431200 in words is "thirty-one trillion, eleven billion, four hundred forty-two million, four hundred thirty-one thousand, two hundred".