1310352403120 has 160 divisors (see below), whose sum is σ = 3125371392000. Its totient is φ = 510793620480.

The previous prime is 1310352403103. The next prime is 1310352403121. The reversal of 1310352403120 is 213042530131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1310352403121) 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 31 ways as a sum of consecutive naturals, for example, 186682971 + ... + 186689989.

It is an arithmetic number, because the mean of its divisors is an integer number (19533571200).

Almost surely, 2^{1310352403120} is an apocalyptic number.

1310352403120 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 1310352403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562685696000).

1310352403120 is an abundant number, since it is smaller than the sum of its proper divisors (1815018988880).

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

1310352403120 is a wasteful number, since it uses less digits than its factorization.

1310352403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1310352403120 its reverse (213042530131), we get a palindrome (1523394933251).

The spelling of 1310352403120 in words is "one trillion, three hundred ten billion, three hundred fifty-two million, four hundred three thousand, one hundred twenty".