10223132313313 has 2 divisors, whose sum is σ = 10223132313314. Its totient is φ = 10223132313312.

The previous prime is 10223132313307. The next prime is 10223132313323. The reversal of 10223132313313 is 31331323132201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9840624698529 + 382507614784 = 3136977^2 + 618472^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223132313313 - 2²⁵ = 10223098758881 is a prime.

It is a super-3 number, since 3×10223132313313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10223132313323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111566156656 + 5111566156657.

It is an arithmetic number, because the mean of its divisors is an integer number (5111566156657).

Almost surely, 2^{10223132313313} is an apocalyptic number.

It is an amenable number.

10223132313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223132313313 is an equidigital number, since it uses as much as digits as its factorization.

10223132313313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 10223132313313 its reverse (31331323132201), we get a palindrome (41554455445514).

The spelling of 10223132313313 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred thirteen".