13213131102 has 128 divisors (see below), whose sum is σ = 31499020800. Its totient is φ = 4091171328.

The previous prime is 13213131101. The next prime is 13213131109. The reversal of 13213131102 is 20113131231.

13213131102 is a `hidden beast` number, since 1 + 321 + 31 + 311 + 0 + 2 = 666.

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 (13213131101) 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, 33966724 + ... + 33967112.

It is an arithmetic number, because the mean of its divisors is an integer number (246086100).

Almost surely, 2^13213131102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749510400).

13213131102 is an abundant number, since it is smaller than the sum of its proper divisors (18285889698).

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

13213131102 is a wasteful number, since it uses less digits than its factorization.

13213131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

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

Adding to 13213131102 its reverse (20113131231), we get a palindrome (33326262333).

The spelling of 13213131102 in words is "thirteen billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred two".