1303010001312 has 96 divisors (see below), whose sum is σ = 3624534672192. Its totient is φ = 408456351744.

The previous prime is 1303010001281. The next prime is 1303010001323. The reversal of 1303010001312 is 2131000103031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1303010001291 and 1303010001300.

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, 1696063 + ... + 2341505.

It is an arithmetic number, because the mean of its divisors is an integer number (37755569502).

Almost surely, 2^{1303010001312} is an apocalyptic number.

1303010001312 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 1303010001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812267336096).

1303010001312 is an abundant number, since it is smaller than the sum of its proper divisors (2321524670880).

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

1303010001312 is a wasteful number, since it uses less digits than its factorization.

1303010001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646710 (or 646702 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1303010001312 its reverse (2131000103031), we get a palindrome (3434010104343).

The spelling of 1303010001312 in words is "one trillion, three hundred three billion, ten million, one thousand, three hundred twelve".