31320322101200 has 180 divisors, whose sum is σ = 83874526624224. Its totient is φ = 11228795424000.

The previous prime is 31320322101179. The next prime is 31320322101203. The reversal of 31320322101200 is 210122302313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31320322101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1120742 + ... + 7993541.

Almost surely, 2^{31320322101200} 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 31320322101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937263312112).

31320322101200 is an abundant number, since it is smaller than the sum of its proper divisors (52554204523024).

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

31320322101200 is a wasteful number, since it uses less digits than its factorization.

31320322101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114394 (or 9114372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31320322101200 its reverse (210122302313), we get a palindrome (31530444403513).

The spelling of 31320322101200 in words is "thirty-one trillion, three hundred twenty billion, three hundred twenty-two million, one hundred one thousand, two hundred".