13135261072 has 80 divisors (see below), whose sum is σ = 27724654080. Its totient is φ = 6003431424.

The previous prime is 13135261057. The next prime is 13135261081. The reversal of 13135261072 is 27016253131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9127329 + ... + 9128767.

It is an arithmetic number, because the mean of its divisors is an integer number (346558176).

Almost surely, 2^13135261072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135261072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862327040).

13135261072 is an abundant number, since it is smaller than the sum of its proper divisors (14589393008).

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

13135261072 is a wasteful number, since it uses less digits than its factorization.

13135261072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 13135261072 in words is "thirteen billion, one hundred thirty-five million, two hundred sixty-one thousand, seventy-two".