1312322013000 has 256 divisors, whose sum is σ = 4550766105600. Its totient is φ = 349846156800.

The previous prime is 1312322012999. The next prime is 1312322013031. The reversal of 1312322013000 is 3102232131.

1312322013000 is a `hidden beast` number, since 1 + 312 + 3 + 220 + 130 + 0 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 133456084 + ... + 133465916.

It is an arithmetic number, because the mean of its divisors is an integer number (17776430100).

Almost surely, 2^{1312322013000} is an apocalyptic number.

1312322013000 is a gapful number since it is divisible by the number (10) 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 1312322013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275383052800).

1312322013000 is an abundant number, since it is smaller than the sum of its proper divisors (3238444092600).

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

1312322013000 is a wasteful number, since it uses less digits than its factorization.

1312322013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14786 counting only the distinct ones).

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

Adding to 1312322013000 its reverse (3102232131), we get a palindrome (1315424245131).

The spelling of 1312322013000 in words is "one trillion, three hundred twelve billion, three hundred twenty-two million, thirteen thousand".