1002320001312 has 48 divisors (see below), whose sum is σ = 3006960005952. Its totient is φ = 286377143040.

The previous prime is 1002320001311. The next prime is 1002320001313. The reversal of 1002320001312 is 2131000232001.

It is an interprime number because it is at equal distance from previous prime (1002320001311) and next prime (1002320001313).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1002320001291 and 1002320001300.

It is not an unprimeable number, because it can be changed into a prime (1002320001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745773139 + ... + 745774482.

It is an arithmetic number, because the mean of its divisors is an integer number (62645000124).

Almost surely, 2^{1002320001312} is an apocalyptic number.

1002320001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002320001312 is an abundant number, since it is smaller than the sum of its proper divisors (2004640004640).

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

1002320001312 is a wasteful number, since it uses less digits than its factorization.

1002320001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491547641 (or 1491547633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002320001312 its reverse (2131000232001), we get a palindrome (3133320233313).

The spelling of 1002320001312 in words is "one trillion, two billion, three hundred twenty million, one thousand, three hundred twelve".