1312013110320 has 400 divisors, whose sum is σ = 5076852346368. Its totient is φ = 311295674880.

The previous prime is 1312013110313. The next prime is 1312013110363. The reversal of 1312013110320 is 230113102131.

1312013110320 is a `hidden beast` number, since 1 + 31 + 2 + 0 + 1 + 311 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312013110293 and 1312013110302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3154347 + ... + 3545973.

Almost surely, 2^{1312013110320} is an apocalyptic number.

1312013110320 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 1312013110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538426173184).

1312013110320 is an abundant number, since it is smaller than the sum of its proper divisors (3764839236048).

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

1312013110320 is a wasteful number, since it uses less digits than its factorization.

1312013110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391710 (or 391695 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1312013110320 its reverse (230113102131), we get a palindrome (1542126212451).

The spelling of 1312013110320 in words is "one trillion, three hundred twelve billion, thirteen million, one hundred ten thousand, three hundred twenty".