13140029088 has 48 divisors (see below), whose sum is σ = 38325087360. Its totient is φ = 4380009408.

The previous prime is 13140029087. The next prime is 13140029107. The reversal of 13140029088 is 88092004131.

13140029088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13140029088² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13140029083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7603320 + ... + 7605047.

It is an arithmetic number, because the mean of its divisors is an integer number (798439320).

Almost surely, 2^13140029088 is an apocalyptic number.

13140029088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13140029088 is an abundant number, since it is smaller than the sum of its proper divisors (25185058272).

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

13140029088 is a wasteful number, since it uses less digits than its factorization.

13140029088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208386 (or 15208372 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13140029088 in words is "thirteen billion, one hundred forty million, twenty-nine thousand, eighty-eight".