31321201200 has 120 divisors (see below), whose sum is σ = 106234213968. Its totient is φ = 7861002240.

The previous prime is 31321201169. The next prime is 31321201207. The reversal of 31321201200 is 210212313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×31321201200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31321201200.

It is not an unprimeable number, because it can be changed into a prime (31321201207) by changing a digit.

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, 747277 + ... + 788076.

Almost surely, 2^31321201200 is an apocalyptic number.

31321201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31321201200 is an abundant number, since it is smaller than the sum of its proper divisors (74913012768).

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

31321201200 is a wasteful number, since it uses less digits than its factorization.

31321201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535391 (or 1535380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31321201200 its reverse (210212313), we get a palindrome (31531413513).

The spelling of 31321201200 in words is "thirty-one billion, three hundred twenty-one million, two hundred one thousand, two hundred".