13113131010 has 128 divisors (see below), whose sum is σ = 37978675200. Its totient is φ = 2830671360.

The previous prime is 13113130973. The next prime is 13113131071. The reversal of 13113131010 is 1013131131.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1315726 + ... + 1325654.

It is an arithmetic number, because the mean of its divisors is an integer number (296708400).

Almost surely, 2^13113131010 is an apocalyptic number.

13113131010 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 13113131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989337600).

13113131010 is an abundant number, since it is smaller than the sum of its proper divisors (24865544190).

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

13113131010 is a wasteful number, since it uses less digits than its factorization.

13113131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13113131010 its reverse (1013131131), we get a palindrome (14126262141).

The spelling of 13113131010 in words is "thirteen billion, one hundred thirteen million, one hundred thirty-one thousand, ten".