10010222313 has 64 divisors (see below), whose sum is σ = 16985321472. Its totient is φ = 5102611200.

The previous prime is 10010222279. The next prime is 10010222359. The reversal of 10010222313 is 31322201001.

It is not a de Polignac number, because 10010222313 - 2⁶ = 10010222249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010222292 and 10010222301.

It is not an unprimeable number, because it can be changed into a prime (10010222363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1521970 + ... + 1528532.

It is an arithmetic number, because the mean of its divisors is an integer number (265395648).

Almost surely, 2^10010222313 is an apocalyptic number.

10010222313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10010222313 is a deficient number, since it is larger than the sum of its proper divisors (6975099159).

10010222313 is a wasteful number, since it uses less digits than its factorization.

10010222313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10010222313 its reverse (31322201001), we get a palindrome (41332423314).

The spelling of 10010222313 in words is "ten billion, ten million, two hundred twenty-two thousand, three hundred thirteen".