1031313123313 has 6 divisors (see below), whose sum is σ = 1133592110882. Its totient is φ = 937557384720.

The previous prime is 1031313123287. The next prime is 1031313123341. The reversal of 1031313123313 is 3133213131301.

It can be written as a sum of positive squares in only one way, i.e., 970366845184 + 60946278129 = 985072^2 + 246873^2 .

It is not a de Polignac number, because 1031313123313 - 2¹³ = 1031313115121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031313123613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4261624356 + ... + 4261624597.

Almost surely, 2^{1031313123313} is an apocalyptic number.

It is an amenable number.

1031313123313 is a deficient number, since it is larger than the sum of its proper divisors (102278987569).

1031313123313 is an equidigital number, since it uses as much as digits as its factorization.

1031313123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523248975 (or 8523248964 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1031313123313 its reverse (3133213131301), we get a palindrome (4164526254614).

The spelling of 1031313123313 in words is "one trillion, thirty-one billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".