13035132552540 has 192 divisors, whose sum is σ = 42317345968128. Its totient is φ = 2936505139200.

The previous prime is 13035132552511. The next prime is 13035132552613. The reversal of 13035132552540 is 4525523153031.

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, 9154525 + ... + 10482155.

It is an arithmetic number, because the mean of its divisors is an integer number (220402843584).

Almost surely, 2^{13035132552540} is an apocalyptic number.

13035132552540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13035132552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21158672984064).

13035132552540 is an abundant number, since it is smaller than the sum of its proper divisors (29282213415588).

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

13035132552540 is a wasteful number, since it uses less digits than its factorization.

13035132552540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327988 (or 1327986 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 13035132552540 in words is "thirteen trillion, thirty-five billion, one hundred thirty-two million, five hundred fifty-two thousand, five hundred forty".