14100210101131 has 48 divisors (see below), whose sum is σ = 18515255425920. Its totient is φ = 10611078952320.

The previous prime is 14100210101129. The next prime is 14100210101141. The reversal of 14100210101131 is 13110101200141.

It is not a de Polignac number, because 14100210101131 - 2¹ = 14100210101129 is a prime.

It is a super-3 number, since 3×14100210101131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14100210101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355061 + ... + 5480566.

It is an arithmetic number, because the mean of its divisors is an integer number (385734488040).

Almost surely, 2^{14100210101131} is an apocalyptic number.

14100210101131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14100210101131 is a deficient number, since it is larger than the sum of its proper divisors (4415045324789).

14100210101131 is a wasteful number, since it uses less digits than its factorization.

14100210101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835784 (or 6835777 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 14100210101131 its reverse (13110101200141), we get a palindrome (27210311301272).

The spelling of 14100210101131 in words is "fourteen trillion, one hundred billion, two hundred ten million, one hundred one thousand, one hundred thirty-one".