13630101416113 has 16 divisors (see below), whose sum is σ = 16775994332160. Its totient is φ = 10783944346176.

The previous prime is 13630101416089. The next prime is 13630101416119. The reversal of 13630101416113 is 31161410103631.

It is a cyclic number.

It is not a de Polignac number, because 13630101416113 - 2²¹ = 13630099318961 is a prime.

It is a super-2 number, since 2×13630101416113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13630101416119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026528 + ... + 5321086.

It is an arithmetic number, because the mean of its divisors is an integer number (1048499645760).

Almost surely, 2^{13630101416113} is an apocalyptic number.

13630101416113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13630101416113 is a deficient number, since it is larger than the sum of its proper divisors (3145892916047).

13630101416113 is a wasteful number, since it uses less digits than its factorization.

13630101416113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329456.

The product of its (nonzero) digits is 3888, while the sum is 31.

Adding to 13630101416113 its reverse (31161410103631), we get a palindrome (44791511519744).

The spelling of 13630101416113 in words is "thirteen trillion, six hundred thirty billion, one hundred one million, four hundred sixteen thousand, one hundred thirteen".