10132400014113 has 16 divisors (see below), whose sum is σ = 14690340479360. Its totient is φ = 6174785965824.

The previous prime is 10132400014031. The next prime is 10132400014117. The reversal of 10132400014113 is 31141000423101.

It is not a de Polignac number, because 10132400014113 - 2¹⁴ = 10132399997729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10132400014113.

It is not an unprimeable number, because it can be changed into a prime (10132400014117) 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 15 ways as a sum of consecutive naturals, for example, 1261185928 + ... + 1261193961.

It is an arithmetic number, because the mean of its divisors is an integer number (918146279960).

Almost surely, 2^{10132400014113} is an apocalyptic number.

10132400014113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132400014113 is a deficient number, since it is larger than the sum of its proper divisors (4557940465247).

10132400014113 is a wasteful number, since it uses less digits than its factorization.

10132400014113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522380008.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10132400014113 its reverse (31141000423101), we get a palindrome (41273400437214).

The spelling of 10132400014113 in words is "ten trillion, one hundred thirty-two billion, four hundred million, fourteen thousand, one hundred thirteen".