13105277952 has 176 divisors, whose sum is σ = 37807926240. Its totient is φ = 4011982848.

The previous prime is 13105277879. The next prime is 13105277953. The reversal of 13105277952 is 25977250131.

It is not an unprimeable number, because it can be changed into a prime (13105277953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9144628 + ... + 9146060.

Almost surely, 2^13105277952 is an apocalyptic number.

13105277952 is a gapful number since it is divisible by the number (12) 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 13105277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903963120).

13105277952 is an abundant number, since it is smaller than the sum of its proper divisors (24702648288).

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

13105277952 is a wasteful number, since it uses less digits than its factorization.

13105277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 13105277952 in words is "thirteen billion, one hundred five million, two hundred seventy-seven thousand, nine hundred fifty-two".