13140404010 has 80 divisors (see below), whose sum is σ = 35683141032. Its totient is φ = 3469392000.

The previous prime is 13140403973. The next prime is 13140404027. The reversal of 13140404010 is 1040404131.

It can be written as a sum of positive squares in 4 ways, for example, as 12268442169 + 871961841 = 110763^2 + 29529^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1500 + ... + 162120.

Almost surely, 2^13140404010 is an apocalyptic number.

13140404010 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 13140404010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841570516).

13140404010 is an abundant number, since it is smaller than the sum of its proper divisors (22542737022).

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

13140404010 is a wasteful number, since it uses less digits than its factorization.

13140404010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160741 (or 160732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13140404010 its reverse (1040404131), we get a palindrome (14180808141).

The spelling of 13140404010 in words is "thirteen billion, one hundred forty million, four hundred four thousand, ten".