10131332022313 has 2 divisors, whose sum is σ = 10131332022314. Its totient is φ = 10131332022312.

The previous prime is 10131332022293. The next prime is 10131332022323. The reversal of 10131332022313 is 31322023313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6898412949289 + 3232919073024 = 2626483^2 + 1798032^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131332022313 - 2²⁵ = 10131298467881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131332022323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065666011156 + 5065666011157.

It is an arithmetic number, because the mean of its divisors is an integer number (5065666011157).

Almost surely, 2^{10131332022313} is an apocalyptic number.

It is an amenable number.

10131332022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131332022313 is an equidigital number, since it uses as much as digits as its factorization.

10131332022313 is an evil number, because the sum of its binary digits is even.

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

Adding to 10131332022313 its reverse (31322023313101), we get a palindrome (41453355335414).

The spelling of 10131332022313 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, twenty-two thousand, three hundred thirteen".