31312123323000 has 512 divisors, whose sum is σ = 106400893697280. Its totient is φ = 7620480000000.

The previous prime is 31312123322999. The next prime is 31312123323001. The reversal of 31312123323000 is 32332121313.

It is an interprime number because it is at equal distance from previous prime (31312123322999) and next prime (31312123323001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312123323001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2981817750 + ... + 2981828250.

Almost surely, 2^{31312123323000} is an apocalyptic number.

31312123323000 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 31312123323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53200446848640).

31312123323000 is an abundant number, since it is smaller than the sum of its proper divisors (75088770374280).

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

31312123323000 is a wasteful number, since it uses less digits than its factorization.

31312123323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31312123323000 its reverse (32332121313), we get a palindrome (31344455444313).

The spelling of 31312123323000 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-three million, three hundred twenty-three thousand".