1303213332312 has 256 divisors, whose sum is σ = 3838109184000. Its totient is φ = 409050086400.

The previous prime is 1303213332307. The next prime is 1303213332341. The reversal of 1303213332312 is 2132333123031.

1303213332312 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 13 + 332 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106788403 + ... + 106800605.

It is an arithmetic number, because the mean of its divisors is an integer number (14992614000).

Almost surely, 2^{1303213332312} is an apocalyptic number.

1303213332312 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 1303213332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919054592000).

1303213332312 is an abundant number, since it is smaller than the sum of its proper divisors (2534895851688).

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

1303213332312 is a wasteful number, since it uses less digits than its factorization.

1303213332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1303213332312 its reverse (2132333123031), we get a palindrome (3435546455343).

The spelling of 1303213332312 in words is "one trillion, three hundred three billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred twelve".