10132134401312 has 288 divisors, whose sum is σ = 26657486856000. Its totient is φ = 3738232995840.

The previous prime is 10132134401251. The next prime is 10132134401321. The reversal of 10132134401312 is 21310443123101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1012297364 + ... + 1012307372.

It is an arithmetic number, because the mean of its divisors is an integer number (92560718250).

Almost surely, 2^{10132134401312} 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 10132134401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328743428000).

10132134401312 is an abundant number, since it is smaller than the sum of its proper divisors (16525352454688).

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

10132134401312 is a wasteful number, since it uses less digits than its factorization.

10132134401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10132134401312 its reverse (21310443123101), we get a palindrome (31442577524413).

The spelling of 10132134401312 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-four million, four hundred one thousand, three hundred twelve".