1231122003313 has 2 divisors, whose sum is σ = 1231122003314. Its totient is φ = 1231122003312.

The previous prime is 1231122003301. The next prime is 1231122003323. The reversal of 1231122003313 is 3133002211321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724486964224 + 506635039089 = 851168^2 + 711783^2 .

It is a cyclic number.

It is not a de Polignac number, because 1231122003313 - 2⁵ = 1231122003281 is a prime.

It is a super-2 number, since 2×1231122003313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1231122003323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615561001656 + 615561001657.

It is an arithmetic number, because the mean of its divisors is an integer number (615561001657).

Almost surely, 2^{1231122003313} is an apocalyptic number.

It is an amenable number.

1231122003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1231122003313 is an equidigital number, since it uses as much as digits as its factorization.

1231122003313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1231122003313 its reverse (3133002211321), we get a palindrome (4364124214634).

The spelling of 1231122003313 in words is "one trillion, two hundred thirty-one billion, one hundred twenty-two million, three thousand, three hundred thirteen".