31321200000 has 384 divisors, whose sum is σ = 106583178240. Its totient is φ = 8144640000.

The previous prime is 31321199953. The next prime is 31321200019. The reversal of 31321200000 is 212313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51599697 + ... + 51600303.

It is an arithmetic number, because the mean of its divisors is an integer number (277560360).

Almost surely, 2^31321200000 is an apocalyptic number.

31321200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53291589120).

31321200000 is an abundant number, since it is smaller than the sum of its proper divisors (75261978240).

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

31321200000 is an frugal number, since it uses more digits than its factorization.

31321200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31321200000 its reverse (212313), we get a palindrome (31321412313).

The spelling of 31321200000 in words is "thirty-one billion, three hundred twenty-one million, two hundred thousand".