312131001000 has 768 divisors, whose sum is σ = 1238261506560. Its totient is φ = 64049356800.

The previous prime is 312131000983. The next prime is 312131001079. The reversal of 312131001000 is 100131213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131311812 + ... + 131314188.

It is an arithmetic number, because the mean of its divisors is an integer number (1612319670).

Almost surely, 2^312131001000 is an apocalyptic number.

312131001000 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 312131001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619130753280).

312131001000 is an abundant number, since it is smaller than the sum of its proper divisors (926130505560).

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

312131001000 is a wasteful number, since it uses less digits than its factorization.

312131001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 312131001000 its reverse (100131213), we get a palindrome (312231132213).

The spelling of 312131001000 in words is "three hundred twelve billion, one hundred thirty-one million, one thousand".