1013312323231 has 16 divisors (see below), whose sum is σ = 1097141976000. Its totient is φ = 930336196608.

The previous prime is 1013312323229. The next prime is 1013312323277. The reversal of 1013312323231 is 1323232133101.

It is not a de Polignac number, because 1013312323231 - 2¹ = 1013312323229 is a prime.

It is a super-2 number, since 2×1013312323231² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013312323196 and 1013312323205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312329231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576510 + ... + 2124148.

It is an arithmetic number, because the mean of its divisors is an integer number (68571373500).

Almost surely, 2^{1013312323231} is an apocalyptic number.

1013312323231 is a deficient number, since it is larger than the sum of its proper divisors (83829652769).

1013312323231 is a wasteful number, since it uses less digits than its factorization.

1013312323231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548418.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1013312323231 its reverse (1323232133101), we get a palindrome (2336544456332).

The spelling of 1013312323231 in words is "one trillion, thirteen billion, three hundred twelve million, three hundred twenty-three thousand, two hundred thirty-one".