1313240114000 has 40 divisors (see below), whose sum is σ = 3175414600488. Its totient is φ = 525296044800.

The previous prime is 1313240113993. The next prime is 1313240114009. The reversal of 1313240114000 is 4110423131.

It can be written as a sum of positive squares in 4 ways, for example, as 72930243136 + 1240309870864 = 270056^2 + 1113692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313240114009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 328308029 + ... + 328312028.

Almost surely, 2^{1313240114000} is an apocalyptic number.

1313240114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313240114000 is an abundant number, since it is smaller than the sum of its proper divisors (1862174486488).

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

1313240114000 is an equidigital number, since it uses as much as digits as its factorization.

1313240114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656620080 (or 656620064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1313240114000 its reverse (4110423131), we get a palindrome (1317350537131).

The spelling of 1313240114000 in words is "one trillion, three hundred thirteen billion, two hundred forty million, one hundred fourteen thousand".