10331220221313 has 32 divisors (see below), whose sum is σ = 14152369766400. Its totient is φ = 6701004063936.

The previous prime is 10331220221269. The next prime is 10331220221317. The reversal of 10331220221313 is 31312202213301.

It is not a de Polignac number, because 10331220221313 - 2⁸ = 10331220221057 is a prime.

It is a super-3 number, since 3×10331220221313³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10331220221317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41048068 + ... + 41298986.

It is an arithmetic number, because the mean of its divisors is an integer number (442261555200).

Almost surely, 2^{10331220221313} is an apocalyptic number.

It is an amenable number.

10331220221313 is a deficient number, since it is larger than the sum of its proper divisors (3821149545087).

10331220221313 is a wasteful number, since it uses less digits than its factorization.

10331220221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253141.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10331220221313 its reverse (31312202213301), we get a palindrome (41643422434614).

The spelling of 10331220221313 in words is "ten trillion, three hundred thirty-one billion, two hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".