13102090129152 has 288 divisors, whose sum is σ = 41020224940800. Its totient is φ = 4113578815488.

The previous prime is 13102090129043. The next prime is 13102090129187. The reversal of 13102090129152 is 25192109020131.

13102090129152 is a `hidden beast` number, since 1 + 310 + 2 + 0 + 9 + 0 + 1 + 291 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 22431403 + ... + 23008085.

It is an arithmetic number, because the mean of its divisors is an integer number (142431336600).

Almost surely, 2^{13102090129152} is an apocalyptic number.

13102090129152 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 13102090129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510112470400).

13102090129152 is an abundant number, since it is smaller than the sum of its proper divisors (27918134811648).

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

13102090129152 is a wasteful number, since it uses less digits than its factorization.

13102090129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576900 (or 576880 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Adding to 13102090129152 its reverse (25192109020131), we get a palindrome (38294199149283).

The spelling of 13102090129152 in words is "thirteen trillion, one hundred two billion, ninety million, one hundred twenty-nine thousand, one hundred fifty-two".