1310320302432 has 96 divisors (see below), whose sum is σ = 3494659069440. Its totient is φ = 429807928320.

The previous prime is 1310320302427. The next prime is 1310320302461. The reversal of 1310320302432 is 2342030230131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1310320302432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2863557 + ... + 3289467.

It is an arithmetic number, because the mean of its divisors is an integer number (36402698640).

Almost surely, 2^{1310320302432} is an apocalyptic number.

1310320302432 is a gapful number since it is divisible by the number (12) 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 1310320302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747329534720).

1310320302432 is an abundant number, since it is smaller than the sum of its proper divisors (2184338767008).

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

1310320302432 is a wasteful number, since it uses less digits than its factorization.

1310320302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426436 (or 426428 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1310320302432 its reverse (2342030230131), we get a palindrome (3652350532563).

The spelling of 1310320302432 in words is "one trillion, three hundred ten billion, three hundred twenty million, three hundred two thousand, four hundred thirty-two".