10222131313313 has 8 divisors (see below), whose sum is σ = 10831397421120. Its totient is φ = 9619991125200.

The previous prime is 10222131313291. The next prime is 10222131313319. The reversal of 10222131313313 is 31331313122201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10222131313313 - 2¹⁶ = 10222131247777 is a prime.

It is a super-2 number, since 2×10222131313313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222131313319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1781476970 + ... + 1781482707.

It is an arithmetic number, because the mean of its divisors is an integer number (1353924677640).

Almost surely, 2^{10222131313313} is an apocalyptic number.

It is an amenable number.

10222131313313 is a deficient number, since it is larger than the sum of its proper divisors (609266107807).

10222131313313 is a wasteful number, since it uses less digits than its factorization.

10222131313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562959847.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 10222131313313 its reverse (31331313122201), we get a palindrome (41553444435514).

The spelling of 10222131313313 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred thirteen".