1231310013301 has 2 divisors, whose sum is σ = 1231310013302. Its totient is φ = 1231310013300.

The previous prime is 1231310013203. The next prime is 1231310013317. The reversal of 1231310013301 is 1033100131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1092706446276 + 138603567025 = 1045326^2 + 372295^2 .

It is an emirp because it is prime and its reverse (1033100131321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1231310013301 - 2³⁷ = 1093871059829 is a prime.

It is a super-2 number, since 2×1231310013301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1231310019301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615655006650 + 615655006651.

It is an arithmetic number, because the mean of its divisors is an integer number (615655006651).

Almost surely, 2^{1231310013301} is an apocalyptic number.

It is an amenable number.

1231310013301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1231310013301 is an equidigital number, since it uses as much as digits as its factorization.

1231310013301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1231310013301 its reverse (1033100131321), we get a palindrome (2264410144622).

The spelling of 1231310013301 in words is "one trillion, two hundred thirty-one billion, three hundred ten million, thirteen thousand, three hundred one".