13305153540 has 96 divisors (see below), whose sum is σ = 43614998784. Its totient is φ = 2966999040.

The previous prime is 13305153529. The next prime is 13305153553. The reversal of 13305153540 is 4535150331.

It is a super-2 number, since 2×13305153540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13305153498 and 13305153507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369109 + ... + 403548.

It is an arithmetic number, because the mean of its divisors is an integer number (454322904).

Almost surely, 2^13305153540 is an apocalyptic number.

13305153540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305153540 is an abundant number, since it is smaller than the sum of its proper divisors (30309845244).

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

13305153540 is a wasteful number, since it uses less digits than its factorization.

13305153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772717 (or 772715 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 13305153540 in words is "thirteen billion, three hundred five million, one hundred fifty-three thousand, five hundred forty".