13211321310 has 48 divisors (see below), whose sum is σ = 37472114160. Its totient is φ = 3202744320.

The previous prime is 13211321203. The next prime is 13211321317. The reversal of 13211321310 is 1312311231.

13211321310 is a `hidden beast` number, since 1 + 32 + 1 + 1 + 321 + 310 = 666.

It is a super-2 number, since 2×13211321310² (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 not an unprimeable number, because it can be changed into a prime (13211321317) by changing a digit.

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, 6671395 + ... + 6673374.

It is an arithmetic number, because the mean of its divisors is an integer number (780669045).

Almost surely, 2^13211321310 is an apocalyptic number.

13211321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13211321310 is an abundant number, since it is smaller than the sum of its proper divisors (24260792850).

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

13211321310 is a wasteful number, since it uses less digits than its factorization.

13211321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344793 (or 13344790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13211321310 its reverse (1312311231), we get a palindrome (14523632541).

The spelling of 13211321310 in words is "thirteen billion, two hundred eleven million, three hundred twenty-one thousand, three hundred ten".