13107502144 has 63 divisors (see below), whose sum is σ = 28611715573. Its totient is φ = 5953376000.

The previous prime is 13107502141. The next prime is 13107502147. The reversal of 13107502144 is 44120570131.

The square root of 13107502144 is 114488.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13107502141) and next prime (13107502147).

It can be written as a sum of positive squares in only one way, i.e., 20142144 + 13087360000 = 4488^2 + 114400^2 .

It is a super-2 number, since 2×13107502144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13107502141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10074294 + ... + 10075594.

Almost surely, 2^13107502144 is an apocalyptic number.

13107502144 is the 114488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107502144

13107502144 is an abundant number, since it is smaller than the sum of its proper divisors (15504213429).

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

13107502144 is an frugal number, since it uses more digits than its factorization.

13107502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 13107502144 in words is "thirteen billion, one hundred seven million, five hundred two thousand, one hundred forty-four".