319312633001041 has 81 divisors (see below), whose sum is σ = 345950702476561. Its totient is φ = 294699126477184.

The previous prime is 319312633001029. The next prime is 319312633001083. The reversal of 319312633001041 is 140100336213913.

319312633001041 = T_14590238 + T_14590239 + T_14590240.

The square root of 319312633001041 is 17869321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30961668191041 + 288350964810000 = 5564321^2 + 16980900^2 .

It is not a de Polignac number, because 319312633001041 - 2¹¹ = 319312632998993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (319312633001441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2330749145925 + ... + 2330749146061.

Almost surely, 2^{319312633001041} is an apocalyptic number.

319312633001041 is the 17869321-st square number.

319312633001041 is the 14590240-th centered triangular number and also the 8934661-st centered octagonal number.

It is an amenable number.

319312633001041 is a deficient number, since it is larger than the sum of its proper divisors (26638069475520).

319312633001041 is an frugal number, since it uses more digits than its factorization.

319312633001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

Adding to 319312633001041 its reverse (140100336213913), we get a palindrome (459412969214954).

The spelling of 319312633001041 in words is "three hundred nineteen trillion, three hundred twelve billion, six hundred thirty-three million, one thousand, forty-one".