1312110133000 has 128 divisors (see below), whose sum is σ = 3363048655200. Its totient is φ = 476937216000.

The previous prime is 1312110132959. The next prime is 1312110133001. The reversal of 1312110133000 is 3310112131.

It can be written as a sum of positive squares in 16 ways, for example, as 3287187556 + 1308822945444 = 57334^2 + 1144038^2 .

It is a super-2 number, since 2×1312110133000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312110133001) 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, 837741 + ... + 1823740.

Almost surely, 2^{1312110133000} is an apocalyptic number.

1312110133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312110133000 is an abundant number, since it is smaller than the sum of its proper divisors (2050938522200).

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

1312110133000 is a wasteful number, since it uses less digits than its factorization.

1312110133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661548 (or 2661534 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1312110133000 its reverse (3310112131), we get a palindrome (1315420245131).

The spelling of 1312110133000 in words is "one trillion, three hundred twelve billion, one hundred ten million, one hundred thirty-three thousand".