10413221310 has 48 divisors (see below), whose sum is σ = 28666989936. Its totient is φ = 2613513984.

The previous prime is 10413221297. The next prime is 10413221353. The reversal of 10413221310 is 1312231401.

10413221310 is a `hidden beast` number, since 1 + 0 + 413 + 221 + 31 + 0 = 666.

It is a super-2 number, since 2×10413221310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3401484 + ... + 3404543.

It is an arithmetic number, because the mean of its divisors is an integer number (597228957).

Almost surely, 2^10413221310 is an apocalyptic number.

10413221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10413221310 is an abundant number, since it is smaller than the sum of its proper divisors (18253768626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10413221310 is a wasteful number, since it uses less digits than its factorization.

10413221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806057 (or 6806054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10413221310 its reverse (1312231401), we get a palindrome (11725452711).

The spelling of 10413221310 in words is "ten billion, four hundred thirteen million, two hundred twenty-one thousand, three hundred ten".