1303102101312 has 84 divisors (see below), whose sum is σ = 4074662082816. Its totient is φ = 394879422720.

The previous prime is 1303102101289. The next prime is 1303102101317. The reversal of 1303102101312 is 2131012013031.

1303102101312 is a `hidden beast` number, since 1 + 30 + 310 + 2 + 10 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303102101317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102826848 + ... + 102839519.

Almost surely, 2^{1303102101312} is an apocalyptic number.

1303102101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303102101312 is an abundant number, since it is smaller than the sum of its proper divisors (2771559981504).

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

1303102101312 is a wasteful number, since it uses less digits than its factorization.

1303102101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205666396 (or 205666383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303102101312 its reverse (2131012013031), we get a palindrome (3434114114343).

The spelling of 1303102101312 in words is "one trillion, three hundred three billion, one hundred two million, one hundred one thousand, three hundred twelve".