31444122404100 has 288 divisors, whose sum is σ = 112237136363520. Its totient is φ = 6637679516160.

The previous prime is 31444122404083. The next prime is 31444122404113. The reversal of 31444122404100 is 140422144413.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9823732 + ... + 12625131.

It is an arithmetic number, because the mean of its divisors is an integer number (389712279040).

Almost surely, 2^{31444122404100} is an apocalyptic number.

31444122404100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31444122404100 is an abundant number, since it is smaller than the sum of its proper divisors (80793013959420).

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

31444122404100 is a wasteful number, since it uses less digits than its factorization.

31444122404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448939 (or 22448932 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 31444122404100 its reverse (140422144413), we get a palindrome (31584544548513).

The spelling of 31444122404100 in words is "thirty-one trillion, four hundred forty-four billion, one hundred twenty-two million, four hundred four thousand, one hundred".