31312223100000 has 864 divisors, whose sum is σ = 115693492955040. Its totient is φ = 8025661440000.

The previous prime is 31312223099933. The next prime is 31312223100001. The reversal of 31312223100000 is 132221313.

31312223100000 is a `hidden beast` number, since 3 + 131 + 222 + 310 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×31312223100000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312223100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2763894336 + ... + 2763905664.

It is an arithmetic number, because the mean of its divisors is an integer number (133904505735).

Almost surely, 2^{31312223100000} is an apocalyptic number.

31312223100000 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 31312223100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57846746477520).

31312223100000 is an abundant number, since it is smaller than the sum of its proper divisors (84381269855040).

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

31312223100000 is a wasteful number, since it uses less digits than its factorization.

31312223100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31312223100000 its reverse (132221313), we get a palindrome (31312355321313).

The spelling of 31312223100000 in words is "thirty-one trillion, three hundred twelve billion, two hundred twenty-three million, one hundred thousand".