13131101303310 has 128 divisors (see below), whose sum is σ = 33948386648064. Its totient is φ = 3241076129280.

The previous prime is 13131101303269. The next prime is 13131101303321. The reversal of 13131101303310 is 1330310113131.

It is a super-2 number, since 2×13131101303310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527828592 + ... + 527853468.

It is an arithmetic number, because the mean of its divisors is an integer number (265221770688).

Almost surely, 2^{13131101303310} is an apocalyptic number.

13131101303310 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 13131101303310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974193324032).

13131101303310 is an abundant number, since it is smaller than the sum of its proper divisors (20817285344754).

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

13131101303310 is a wasteful number, since it uses less digits than its factorization.

13131101303310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49618.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13131101303310 its reverse (1330310113131), we get a palindrome (14461411416441).

The spelling of 13131101303310 in words is "thirteen trillion, one hundred thirty-one billion, one hundred one million, three hundred three thousand, three hundred ten".