312301101000 has 512 divisors, whose sum is σ = 1199146291200. Its totient is φ = 66040934400.

The previous prime is 312301100981. The next prime is 312301101023. The reversal of 312301101000 is 101103213.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21055587 + ... + 21070413.

It is an arithmetic number, because the mean of its divisors is an integer number (2342082600).

Almost surely, 2^312301101000 is an apocalyptic number.

312301101000 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 312301101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599573145600).

312301101000 is an abundant number, since it is smaller than the sum of its proper divisors (886845190200).

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

312301101000 is a wasteful number, since it uses less digits than its factorization.

312301101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14920 counting only the distinct ones).

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

Adding to 312301101000 its reverse (101103213), we get a palindrome (312402204213).

The spelling of 312301101000 in words is "three hundred twelve billion, three hundred one million, one hundred one thousand".