1310301013120 has 128 divisors (see below), whose sum is σ = 3489912864000. Its totient is φ = 466335252480.

The previous prime is 1310301013061. The next prime is 1310301013121. The reversal of 1310301013120 is 213101030131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310301013094 and 1310301013103.

It is not an unprimeable number, because it can be changed into a prime (1310301013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1649145 + ... + 2310904.

It is an arithmetic number, because the mean of its divisors is an integer number (27264944250).

Almost surely, 2^{1310301013120} is an apocalyptic number.

1310301013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310301013120 is an abundant number, since it is smaller than the sum of its proper divisors (2179611850880).

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

1310301013120 is a wasteful number, since it uses less digits than its factorization.

1310301013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960126 (or 3960114 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1310301013120 its reverse (213101030131), we get a palindrome (1523402043251).

The spelling of 1310301013120 in words is "one trillion, three hundred ten billion, three hundred one million, thirteen thousand, one hundred twenty".