1303329137152 has 160 divisors (see below), whose sum is σ = 3205710249984. Its totient is φ = 517048012800.

The previous prime is 1303329137147. The next prime is 1303329137167. The reversal of 1303329137152 is 2517319233031.

It is a super-2 number, since 2×1303329137152² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2300377 + ... + 2810407.

Almost surely, 2^{1303329137152} 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 1303329137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602855124992).

1303329137152 is an abundant number, since it is smaller than the sum of its proper divisors (1902381112832).

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

1303329137152 is an equidigital number, since it uses as much as digits as its factorization.

1303329137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510110 (or 510094 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 1303329137152 in words is "one trillion, three hundred three billion, three hundred twenty-nine million, one hundred thirty-seven thousand, one hundred fifty-two".