312113301000 has 128 divisors (see below), whose sum is σ = 1005206492160. Its totient is φ = 80545344000.

The previous prime is 312113300999. The next prime is 312113301007. The reversal of 312113301000 is 103311213.

It is a super-2 number, since 2×312113301000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (312113301007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585029 + ... + 1771028.

It is an arithmetic number, because the mean of its divisors is an integer number (7853175720).

Almost surely, 2^312113301000 is an apocalyptic number.

312113301000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312113301000 is an abundant number, since it is smaller than the sum of its proper divisors (693093191160).

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

312113301000 is a wasteful number, since it uses less digits than its factorization.

312113301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356112 (or 3356098 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 312113301000 its reverse (103311213), we get a palindrome (312216612213).

The spelling of 312113301000 in words is "three hundred twelve billion, one hundred thirteen million, three hundred one thousand".