131414120211011 has 16 divisors (see below), whose sum is σ = 146865108525408. Its totient is φ = 116547476908800.

The previous prime is 131414120210969. The next prime is 131414120211041. The reversal of 131414120211011 is 110112021414131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131414120211011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131414120211041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102361 + ... + 16249413.

It is an arithmetic number, because the mean of its divisors is an integer number (9179069282838).

Almost surely, 2^{131414120211011} is an apocalyptic number.

131414120211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131414120211011 is a deficient number, since it is larger than the sum of its proper divisors (15450988314397).

131414120211011 is a wasteful number, since it uses less digits than its factorization.

131414120211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166342.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 131414120211011 its reverse (110112021414131), we get a palindrome (241526141625142).

The spelling of 131414120211011 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred twenty million, two hundred eleven thousand, eleven".