1303101211312 has 80 divisors (see below), whose sum is σ = 2629727758080. Its totient is φ = 624777753600.

The previous prime is 1303101211267. The next prime is 1303101211369. The reversal of 1303101211312 is 2131121013031.

It is a super-2 number, since 2×1303101211312² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1303101211312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79541362 + ... + 79557742.

It is an arithmetic number, because the mean of its divisors is an integer number (32871596976).

Almost surely, 2^{1303101211312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303101211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314863879040).

1303101211312 is an abundant number, since it is smaller than the sum of its proper divisors (1326626546768).

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

1303101211312 is a wasteful number, since it uses less digits than its factorization.

1303101211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17582 (or 17576 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1303101211312 its reverse (2131121013031), we get a palindrome (3434222224343).

The spelling of 1303101211312 in words is "one trillion, three hundred three billion, one hundred one million, two hundred eleven thousand, three hundred twelve".