31231022100000 has 576 divisors, whose sum is σ = 103742027835264. Its totient is φ = 8225280000000.

The previous prime is 31231022099957. The next prime is 31231022100011. The reversal of 31231022100000 is 122013213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20399099235 + ... + 20399100765.

It is an arithmetic number, because the mean of its divisors is an integer number (180107687214).

Almost surely, 2^{31231022100000} is an apocalyptic number.

31231022100000 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 31231022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51871013917632).

31231022100000 is an abundant number, since it is smaller than the sum of its proper divisors (72511005735264).

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

31231022100000 is an equidigital number, since it uses as much as digits as its factorization.

31231022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31231022100000 its reverse (122013213), we get a palindrome (31231144113213).

The spelling of 31231022100000 in words is "thirty-one trillion, two hundred thirty-one billion, twenty-two million, one hundred thousand".