31321211100320 has 96 divisors (see below), whose sum is σ = 76577239846800. Its totient is φ = 12091840782336.

The previous prime is 31321211100313. The next prime is 31321211100323. The reversal of 31321211100320 is 2300111212313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30391537173904 + 929673926416 = 5512852^2 + 964196^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 31321211100292 and 31321211100301.

It is not an unprimeable number, because it can be changed into a prime (31321211100323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10853186 + ... + 13432574.

Almost surely, 2^{31321211100320} 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 31321211100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38288619923400).

31321211100320 is an abundant number, since it is smaller than the sum of its proper divisors (45256028746480).

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

31321211100320 is a wasteful number, since it uses less digits than its factorization.

31321211100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582050 (or 2582042 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31321211100320 its reverse (2300111212313), we get a palindrome (33621322312633).

The spelling of 31321211100320 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred eleven million, one hundred thousand, three hundred twenty".