1310242133120 has 32 divisors (see below), whose sum is σ = 3132297601020. Its totient is φ = 524096852992.

The previous prime is 1310242133117. The next prime is 1310242133171. The reversal of 1310242133120 is 213312420131.

It can be written as a sum of positive squares in 2 ways, for example, as 1309047186496 + 1194946624 = 1144136^2 + 34568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023626027 + ... + 1023627306.

Almost surely, 2^{1310242133120} is an apocalyptic number.

1310242133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310242133120 is an abundant number, since it is smaller than the sum of its proper divisors (1822055467900).

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

1310242133120 is an equidigital number, since it uses as much as digits as its factorization.

1310242133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047253352 (or 2047253340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1310242133120 its reverse (213312420131), we get a palindrome (1523554553251).

The spelling of 1310242133120 in words is "one trillion, three hundred ten billion, two hundred forty-two million, one hundred thirty-three thousand, one hundred twenty".