101414131 has 32 divisors (see below), whose sum is σ = 130959360. Its totient is φ = 76374144.

The previous prime is 101414123. The next prime is 101414141. The reversal of 101414131 is 131414101.

It is not a de Polignac number, because 101414131 - 2³ = 101414123 is a prime.

It is a super-2 number, since 2×101414131² = 20569651932970322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101414101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218806 + ... + 219268.

It is an arithmetic number, because the mean of its divisors is an integer number (4092480).

Almost surely, 2^101414131 is an apocalyptic number.

101414131 is a deficient number, since it is larger than the sum of its proper divisors (29545229).

101414131 is a wasteful number, since it uses less digits than its factorization.

101414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101414131 is about 10070.4583311784. The cubic root of 101414131 is about 466.3365884126.

Adding to 101414131 its reverse (131414101), we get a palindrome (232828232).

It can be divided in two parts, 10 and 1414131, that added together give a palindrome (1414141).

The spelling of 101414131 in words is "one hundred one million, four hundred fourteen thousand, one hundred thirty-one".