1312223013000 has 192 divisors, whose sum is σ = 4696215142320. Its totient is φ = 329342208000.

The previous prime is 1312223012999. The next prime is 1312223013007. The reversal of 1312223013000 is 3103222131.

1312223013000 is a `hidden beast` number, since 1 + 312 + 22 + 30 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4799995524 + 1307423017476 = 69282^2 + 1143426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1312223013007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135311 + ... + 4441310.

Almost surely, 2^{1312223013000} is an apocalyptic number.

1312223013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312223013000 is an abundant number, since it is smaller than the sum of its proper divisors (3383992129320).

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

1312223013000 is a wasteful number, since it uses less digits than its factorization.

1312223013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576665 (or 8576648 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312223013000 its reverse (3103222131), we get a palindrome (1315326235131).

The spelling of 1312223013000 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, thirteen thousand".