13212101310 has 128 divisors (see below), whose sum is σ = 34714842624. Its totient is φ = 3204956160.

The previous prime is 13212101291. The next prime is 13212101311. The reversal of 13212101310 is 1310121231.

It is a happy number.

It is a super-2 number, since 2×13212101310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13212101310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212101311) 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, 2124105 + ... + 2130315.

It is an arithmetic number, because the mean of its divisors is an integer number (271209708).

Almost surely, 2^13212101310 is an apocalyptic number.

13212101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357421312).

13212101310 is an abundant number, since it is smaller than the sum of its proper divisors (21502741314).

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

13212101310 is a wasteful number, since it uses less digits than its factorization.

13212101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13212101310 its reverse (1310121231), we get a palindrome (14522222541).

The spelling of 13212101310 in words is "thirteen billion, two hundred twelve million, one hundred one thousand, three hundred ten".