101401131 has 16 divisors (see below), whose sum is σ = 147021056. Its totient is φ = 61792416.

The previous prime is 101401129. The next prime is 101401151. The reversal of 101401131 is 131104101.

It is not a de Polignac number, because 101401131 - 2¹ = 101401129 is a prime.

It is a super-2 number, since 2×101401131² = 20564378736158322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101401151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605 + ... + 16638.

It is an arithmetic number, because the mean of its divisors is an integer number (9188816).

Almost surely, 2^101401131 is an apocalyptic number.

101401131 is a deficient number, since it is larger than the sum of its proper divisors (45619925).

101401131 is a wasteful number, since it uses less digits than its factorization.

101401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101401131 is about 10069.8128582412. The cubic root of 101401131 is about 466.3166614240.

Adding to 101401131 its reverse (131104101), we get a palindrome (232505232).

The spelling of 101401131 in words is "one hundred one million, four hundred one thousand, one hundred thirty-one".