1012110313000 has 64 divisors (see below), whose sum is σ = 2413023883920. Its totient is φ = 397205536000.

The previous prime is 1012110312989. The next prime is 1012110313003. The reversal of 1012110313000 is 3130112101.

It can be written as a sum of positive squares in 8 ways, for example, as 287573764 + 1011822739236 = 16958^2 + 1005894^2 .

It is a super-3 number, since 3×1012110313000³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012110313003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9495211 + ... + 9601210.

Almost surely, 2^{1012110313000} is an apocalyptic number.

1012110313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012110313000 is an abundant number, since it is smaller than the sum of its proper divisors (1400913570920).

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

1012110313000 is a wasteful number, since it uses less digits than its factorization.

1012110313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19096495 (or 19096481 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1012110313000 its reverse (3130112101), we get a palindrome (1015240425101).

The spelling of 1012110313000 in words is "one trillion, twelve billion, one hundred ten million, three hundred thirteen thousand".