13008429126 has 192 divisors, whose sum is σ = 36437446656. Its totient is φ = 3255033600.

The previous prime is 13008429113. The next prime is 13008429139. The reversal of 13008429126 is 62192480031.

It is an interprime number because it is at equal distance from previous prime (13008429113) and next prime (13008429139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11901036 + ... + 11902128.

It is an arithmetic number, because the mean of its divisors is an integer number (189778368).

Almost surely, 2^13008429126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13008429126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218723328).

13008429126 is an abundant number, since it is smaller than the sum of its proper divisors (23429017530).

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

13008429126 is a wasteful number, since it uses less digits than its factorization.

13008429126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13008429126 in words is "thirteen billion, eight million, four hundred twenty-nine thousand, one hundred twenty-six".